HCF

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Question 1

Which is the largest number that divides 17, 23, 35, 59 to leave the same remainder in each case ?

  • 2

  • 3

  • 6

  • 12

Question 2

Express 252 as a product of primes.

  • 2 × 2 × 3 × 3 × 7

  • 3 × 3 × 3 × 3 × 7

  • 2 × 2 × 2 × 3 × 7

  • 2 × 3 × 3 × 3 × 7

Question 3

The HCF of two numbers is 36, and their LCM is 1296. If one of the numbers is 144, what is the other number?

  • 288

  • 324

  • 216

  • 252

Question 4

The HCF of two numbers is 15, and their LCM is 180. If one of the numbers is 45, what is the other number?

  • 60

  • 30

  • 75

  • 90

Question 5

Express 1095/1168 in its simplest form.

  • 13/16

  • 15/16

  • 17/26

  • 25/26

Question 6

Find the highest common factor (HCF) of the following three products of numbers:

  1. 4×27×3125
  2. 8×9×25×7
  3. 16×81×5×11×49
  • 180

  • 360

  • 540

  • 1260

Question 7

Calculate the HCF of 36 and 84.

  • 4

  • 6

  • 12

  • 18

Question 8

Calculate the HCF of 1.08, 0.36 and 0.9.
  • 0.03
  • 0.9
  • 0.18
  • 0.108

Question 9

Three numbers are in the ratio 1:2:3 and their HCF is 12. The numbers are:
  • 4, 8, 12
  • 5, 10, 15
  • 10, 20, 30
  • 12, 24, 36

Question 10

The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above condition is:

  • 4

  • 6

  • 3

  • 5

There are 15 questions to complete.

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