Finding HCF and LCM: factorisation, division and Euclid's method 5 PYQs

• Which is the least number exactly divisible by 5, 7, 9 and 21?SSC GD 2026 · 18 May 2026
• Find the greatest number that exactly divides 187 and 391.UP Police Constable 2026 · 10 Jun 2026
• What is the Highest Common Factor (HCF) of 234 and 452?UP Police Constable 2026 · 08 Jun 2026
• Find the Highest Common Factor (HCF) of 130, 140, and 185.UP Police SI 2026 · 15 Mar 2026
• Find the Least Common Multiple (LCM) of 250, 500, 1000 and 1050.UP Police Constable 2026 · 09 Jun 2026

HCF and LCM in prime-power form and of algebraic expressions 2 PYQs

• Find the Least Common Multiple (LCM) of 6², 5³ and 4⁴.UP Police Constable 2026 · 10 Jun 2026
• Determine the Least Common Multiple (LCM) of the algebraic expressions x²y and xy³.UP Police Constable 2026 · 08 Jun 2026

Product rule: HCF × LCM = product of the two numbers 15 PYQs

• The Highest Common Factor of two numbers is 15 and their Least Common Multiple is 360. What is the product of the two numbers?SSC GD 2026 · 30 Apr 2026
• The product of Highest Common Factor and Least Common Multiple of 2 numbers is 6930. One of the numbers is 154. What is the other number?SSC GD 2026 · 04 May 2026
• Two numbers are such that their HCF is 18 and their LCM is 540. If one of the numbers is 90, find the other number.SSC GD 2026 · 06 May 2026
• The LCM of two numbers is 168, and their HCF is 14. If one of the numbers is 42, find the other number.SSC GD 2026 · 06 May 2026
• The HCF of two numbers 1002 and 1314 is 6. Find their LCM.UP Police Constable 2026 · 10 Jun 2026
• The HCF of two numbers is 2 and their LCM is 42728. If one number is 218, what is the other number?UP Police Constable 2026 · 09 Jun 2026
• The HCF of two numbers is 4 and their LCM is 5940. If one of the numbers is 108, what is the other number?UP Police Constable 2026 · 08 Jun 2026
• The LCM of two numbers is 3584, and their HCF is 8. Find the product of the two numbers.UP Police SI 2026 · 14 Mar 2026
• The Highest Common Factor (HCF) of two numbers is 48 and their Least Common Multiple (LCM) is 3456. If one of the numbers is 768, find the other…UP Police SI 2026 · 14 Mar 2026
• The HCF of two numbers is 6 and their LCM is 72. If one of the numbers is 18, find the other number.RRB NTPC 2026 · 18 Mar 2026
• The H.C.F. and L.C.M. of two numbers are 25 and 500, respectively. If the first number is divided by 2, the quotient is 50 and the remainder is…RRB NTPC 2026 · 09 May 2026
• The LCM of two numbers 216 and 120 is 1080. Find the HCF of these numbers.RRB Group D 2026 · 06 Feb 2026
• The LCM of two numbers is 1116 and their HCF is 186. If one of the number is 372, then the other number isRRB NTPC 2026 · 16 Mar 2026
• The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 1560. If one of the numbers is 120, then find the other number.UP Police Constable 2026 · 10 Jun 2026
• The product of two numbers is 5040. If their LCM is 420, find the ratio of their LCM to their HCF.UP Police SI 2026 · 14 Mar 2026