Greatest Common Factor of 7534/905, 9344/9695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7534/905, 9344/9695

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7534/905,9344/9695

Given fractions are 7534/905,9344/9695

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7534,9344

Greatest Common Factor of Numerators i.e. GCF of 7534,9344 is 2 .

LCM of Denominators means LCM of 905,9695 as per the given fractions.

LCM of 905,9695 is 1754795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7534,9344

GCF of Fractions 7534/905,9344/9695 is 2/1754795

2 7534, 9344
3767, 4672

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7534,9344 By Matching Biggest Common Factor Method

Greatest Common Factor of 7534,9344 By Matching Biggest Common Factor Method

Factors of 7534

List of positive integer factors of 7534 that divides 7534 without a remainder.

1,2,3767,7534

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Greatest Common Factor

We found the factors 7534,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 7534,9344 is 2.

Lets's calculate LCM of 905,9695

5 905, 9695
181, 1939

∴ So the LCM of the given numbers is 5 x 181 x 1939 = 1754795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1754795

Therefore, the GCF of Fractions 7534/905,9344/9695 is 2/1754795

Least Common Multiple of 905,9695 with GCF Formula

Least Common Multiple of 905,9695 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 905,9695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,9695) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(905,9695) x common factors =5 x 1 = 5

LCM(905,9695) = ( 905 × 9695 ) / 5

LCM(905,9695) = 8773975 / 5

LCM(905,9695) = 1754795


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7534/905, 9344/9695

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7534/905, 9344/9695?

Answer: GCF of Numerators as per given numbers 7534/905, 9344/9695 is

GCF of Numerators i.e. for 7534,9344 is 2

LCM of denominators i.e. for 905,9695 is 1754795.

Thus, GCF of Fractions is 2/1754795.Finally, GCF of Fractions for 7534/905, 9344/9695 is 2/1754795.