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  1. Problems
  2. /Number Systems
  3. /Divisibility, HCF and LCM

Divisibility, HCF and LCM

Mathematics
+ Upload a Problem
More in Number SystemsRational and Irrational NumbersExponents and RadicalsDivisibility, HCF and LCM
11 problems
Type:
1.
Find the smallest number that leaves a remainder of 5 when divided by 12, by 15 and by 20. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Hard
2.
Use Euclid's division method to find the HCF of 1517 and 902. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Medium
3.
Three tanks hold 238 litres, 357 litres and 476 litres of water. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Medium
4.
On a road, one traffic light turns green every 40 seconds and another every 56 seconds. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Easy
5.
Two numbers have an HCF of 12 and an LCM of 360. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Hard
6.
Neha is told that the HCF of 234 and 390 is 78. Find their LCM without factorising. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Medium
7.
Find the HCF and the LCM of 28, 42 and 70. Is HCF × LCM equal to 28 × 42 × 70? New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Medium
8.
Find the HCF and the LCM of 132 and 198 from their prime factorisations. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Easy
9.
Let n = 2³ × 3² × 5. How many factors does n have, counting 1 and n? New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Hard
10.
For which of these numbers is there a natural number n that makes the number end in the digit 0? New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Medium
11.
Write 3150 as a product of prime powers. New
High School (9–10), General · Divisibility, HCF and LCMStemPy LabStemPy Lab
Easy