Greatest Common Factor of 7601/730, 6574/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7601/730, 6574/637

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 7601/730,6574/637

Given fractions are 7601/730,6574/637

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 7601,6574

Greatest Common Factor of Numerators i.e. GCF of 7601,6574 is 1 .

LCM of Denominators means LCM of 730,637 as per the given fractions.

LCM of 730,637 is 465010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7601,6574

GCF of Fractions 7601/730,6574/637 is 1/465010

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

Greatest Common Factor of 7601,6574 By Matching Biggest Common Factor Method

Greatest Common Factor of 7601,6574 By Matching Biggest Common Factor Method

Factors of 7601

List of positive integer factors of 7601 that divides 7601 without a remainder.

1,11,691,7601

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1,2,19,38,173,346,3287,6574

Greatest Common Factor

We found the factors 7601,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 7601,6574 is 1.

Lets's calculate LCM of 730,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 465010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465010

Therefore, the GCF of Fractions 7601/730,6574/637 is 1/465010

Least Common Multiple of 730,637 with GCF Formula

Least Common Multiple of 730,637 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 730,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,637) = 1

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

GCF(730,637) x common factors =1 x 1 = 1

LCM(730,637) = ( 730 × 637 ) / 1

LCM(730,637) = 465010 / 1

LCM(730,637) = 465010


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 7601/730, 6574/637

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 7601/730, 6574/637?

Answer: GCF of Numerators as per given numbers 7601/730, 6574/637 is

GCF of Numerators i.e. for 7601,6574 is 1

LCM of denominators i.e. for 730,637 is 465010.

Thus, GCF of Fractions is 1/465010.Finally, GCF of Fractions for 7601/730, 6574/637 is 1/465010.