Question

Date
Page
IF G.C. F (25, 15) = 4x+1 Then x =​

Answer 1

Answer:

x = 1

Step-by-step explanation:

25 = 5 × 5 and 15 = 5 × 3

GCF(25, 15) = 5

4x + 1 = 5 ===> x = 1

Answer 2

Given:

• Greatest common factor of (25,15) is expressible in the form of 4x+1.

To Find:

• The value of x .

Answer:

Now let us understand what GCF is :

• GCF or HCF ( Highest Common Factor) of two or more numbers is defined as the highest number which can divide the given numbers in whole number multiples.

By prime factorisation ,

→ 25 = 5 × 5 = 5².

→ 15 = 5 × 3.

Number with lowest common factor between them is 5 .

Hence the required HCF is 5.

But it is given 4x + 1.

=> 4x + 1 = 5.

=> 4x = 5 - 1.

=> 4x = 4 .

=> x = 4/4.

=> x = 1.

Hence the value of x is 1.