Greatest Common Factor of 9672/475, 3759/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9672/475, 3759/704

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 9672/475,3759/704

Given fractions are 9672/475,3759/704

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 9672,3759

Greatest Common Factor of Numerators i.e. GCF of 9672,3759 is 3 .

LCM of Denominators means LCM of 475,704 as per the given fractions.

LCM of 475,704 is 334400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9672,3759

GCF of Fractions 9672/475,3759/704 is 3/334400

3 9672, 3759
3224, 1253

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9672,3759 By Matching Biggest Common Factor Method

Greatest Common Factor of 9672,3759 By Matching Biggest Common Factor Method

Factors of 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672

Factors of 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1,3,7,21,179,537,1253,3759

Greatest Common Factor

We found the factors 9672,3759 . The biggest common factor number is the GCF number.
So the greatest common factor 9672,3759 is 3.

Lets's calculate LCM of 475,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 334400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/334400

Therefore, the GCF of Fractions 9672/475,3759/704 is 3/334400

Least Common Multiple of 475,704 with GCF Formula

Least Common Multiple of 475,704 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 475,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,704) = 1

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

GCF(475,704) x common factors =1 x 1 = 1

LCM(475,704) = ( 475 × 704 ) / 1

LCM(475,704) = 334400 / 1

LCM(475,704) = 334400


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 9672/475, 3759/704

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 9672/475, 3759/704?

Answer: GCF of Numerators as per given numbers 9672/475, 3759/704 is

GCF of Numerators i.e. for 9672,3759 is 3

LCM of denominators i.e. for 475,704 is 334400.

Thus, GCF of Fractions is 3/334400.Finally, GCF of Fractions for 9672/475, 3759/704 is 3/334400.