Greatest Common Factor of 7691/902, 7357/4425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7691/902, 7357/4425

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 7691/902,7357/4425

Given fractions are 7691/902,7357/4425

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 7691,7357

Greatest Common Factor of Numerators i.e. GCF of 7691,7357 is 1 .

LCM of Denominators means LCM of 902,4425 as per the given fractions.

LCM of 902,4425 is 3991350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7691,7357

GCF of Fractions 7691/902,7357/4425 is 1/3991350

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7691,7357 By Matching Biggest Common Factor Method

Greatest Common Factor of 7691,7357 By Matching Biggest Common Factor Method

Factors of 7691

List of positive integer factors of 7691 that divides 7691 without a remainder.

1,7691

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1,7,1051,7357

Greatest Common Factor

We found the factors 7691,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 7691,7357 is 1.

Lets's calculate LCM of 902,4425

Given numbers has no common factors except 1. So, there LCM is their product i.e 3991350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3991350

Therefore, the GCF of Fractions 7691/902,7357/4425 is 1/3991350

Least Common Multiple of 902,4425 with GCF Formula

Least Common Multiple of 902,4425 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 902,4425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,4425) = 1

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

GCF(902,4425) x common factors =1 x 1 = 1

LCM(902,4425) = ( 902 × 4425 ) / 1

LCM(902,4425) = 3991350 / 1

LCM(902,4425) = 3991350


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 7691/902, 7357/4425

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 7691/902, 7357/4425?

Answer: GCF of Numerators as per given numbers 7691/902, 7357/4425 is

GCF of Numerators i.e. for 7691,7357 is 1

LCM of denominators i.e. for 902,4425 is 3991350.

Thus, GCF of Fractions is 1/3991350.Finally, GCF of Fractions for 7691/902, 7357/4425 is 1/3991350.