Question

Sam has 39 pencils and 26 pens to distribute to his classmates? Each student must receive the same amount of pens and pencils and there will be no pens or pencils left. What is the greatest number of students in that class?

Answer 1

13

Step-by-step explanation:

for finding greatest number of students, here we need to find the HCF of number ( that is number or pens & pencil)

HCF of 39&26

39= 3×13

26= 2×13

hence HCF = 13

therefore the greatest number of students = 13

Answer 2

• 13

Given :- Sam has 39 pencils and 26 pens to distribute to his classmates . Each student must receive the same amount of pens and pencils and there will be no pens or pencils left.

To Find :- What is the greatest number of students in that class ?

Concept used :- The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers .

Solution :-

given that,

→ Total pencils sam has = 39

→ Total pens sam has = 26

So, in order to find the greatest number of students in that class we need to find the HCF of total pencils and pens distributed .

Then, prime factors of 39 and 26 are :-

→ 39 = 3 × 13

→ 26 = 2 × 13

→ HCF = Product of common factors

→ HCF = 13

therefore, we can conclude that, the greatest number of students in that class is equal to 13 .

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