Shreya has 32 red pens and 56 blue pens. She wants to make packs of equal number of pens out of them in such a way that each pack has pens of only one colour. How many pens would be there in the biggest pack ?​

  • matematika

    Subject:

    Math
  • Author:

    ricky
  • Created:

    1 year ago

Answers 2

Answer:

8 is correct answer

Step-by-step explanation:

8 is answer

Final answer: 8

        8 is the answer

Given: We are given, Number of red pens= 32

                                    Number of blue pens= 56

To find: We have to find the number of pens would be there in the biggest pack, when Shreya wants to make packs of equal number of pens out of them in such a way that each pack has pens of only one colour.

Explanation:

  • We want to finding the HCF of number of red pens and number of blue pens.
  • By finding the HCF of 32 and 56, we can find out the number of pens would be there in the biggest pack, when Shreya wants to make packs of equal number of pens out of them in such a way that each pack has pens of only one colour.
  • HCF of two integers is the largest positive integer that divides each of the integers.
  • The number 8 is the largest number that divides 32 and 56 exactly, without leaving any remainder.
  • Thus 8 is the Highest Common Factor (HCF) of 32 and 56.

2 I 32, 56

2 I 16, 28

2 I 8, 14

  I 4, 7

  • Hence, HCF= 2*2*2= 8.
  • Further, there is no common factor for the numbers, 4 and 7
  • Therefor, 8 is the Highest Common Factor 32 and 56.

To know more about the concept please go through the links:

https://brainly.in/question/8304445

https://brainly.in/question/36544175

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