Question

The maximum number of students amongst whom 1495 pens and 690 pencils can be distributed in such a way that each student gets the same number of pens and the same number of pencils, is

Answer 1

Step-by-step explanation:

Given The maximum number of students amongst whom 1495 pens and 690 pencils can be distributed in such a way that each student gets the same number of pens and the same number of pencils, is

• Total number of pens = 1495
• Total number of pencils = 690
• So the maximum number of students who gets same number of pens and pencils will be hcf of 1495 and 690
• Now by prime factorization we have  
• Factors of  
• 1495 = 5 x 23 x 13
• 690 = 2 x 5 x 3 x 23
• So hcf will be 5 x 23 = 115
• Therefore 115 students will receive same number of pens and pencils

Reference link will be

https://brainly.in/question/23292867