Greatest Common Factor of 7801/32, 1392/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7801/32, 1392/425

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 7801/32,1392/425

Given fractions are 7801/32,1392/425

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 7801,1392

Greatest Common Factor of Numerators i.e. GCF of 7801,1392 is 29 .

LCM of Denominators means LCM of 32,425 as per the given fractions.

LCM of 32,425 is 13600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7801,1392

GCF of Fractions 7801/32,1392/425 is 29/13600

29 7801, 1392
269, 48

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 7801,1392 By Matching Biggest Common Factor Method

Greatest Common Factor of 7801,1392 By Matching Biggest Common Factor Method

Factors of 7801

List of positive integer factors of 7801 that divides 7801 without a remainder.

1,29,269,7801

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Greatest Common Factor

We found the factors 7801,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 7801,1392 is 29.

Lets's calculate LCM of 32,425

Given numbers has no common factors except 1. So, there LCM is their product i.e 13600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/13600

Therefore, the GCF of Fractions 7801/32,1392/425 is 29/13600

Least Common Multiple of 32,425 with GCF Formula

Least Common Multiple of 32,425 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 32,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,425) = 1

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

GCF(32,425) x common factors =1 x 1 = 1

LCM(32,425) = ( 32 × 425 ) / 1

LCM(32,425) = 13600 / 1

LCM(32,425) = 13600


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 7801/32, 1392/425

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 7801/32, 1392/425?

Answer: GCF of Numerators as per given numbers 7801/32, 1392/425 is

GCF of Numerators i.e. for 7801,1392 is 29

LCM of denominators i.e. for 32,425 is 13600.

Thus, GCF of Fractions is 29/13600.Finally, GCF of Fractions for 7801/32, 1392/425 is 29/13600.