Greatest Common Factor of 7097/793, 3775/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7097/793, 3775/862

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 7097/793,3775/862

Given fractions are 7097/793,3775/862

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 7097,3775

Greatest Common Factor of Numerators i.e. GCF of 7097,3775 is 151 .

LCM of Denominators means LCM of 793,862 as per the given fractions.

LCM of 793,862 is 683566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7097,3775

GCF of Fractions 7097/793,3775/862 is 151/683566

151 7097, 3775
47, 25

∴ So the GCF of the given numbers is 151 = 151

Greatest Common Factor of 7097,3775 By Matching Biggest Common Factor Method

Greatest Common Factor of 7097,3775 By Matching Biggest Common Factor Method

Factors of 7097

List of positive integer factors of 7097 that divides 7097 without a remainder.

1,47,151,7097

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1,5,25,151,755,3775

Greatest Common Factor

We found the factors 7097,3775 . The biggest common factor number is the GCF number.
So the greatest common factor 7097,3775 is 151.

Lets's calculate LCM of 793,862

Given numbers has no common factors except 1. So, there LCM is their product i.e 683566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/683566

Therefore, the GCF of Fractions 7097/793,3775/862 is 151/683566

Least Common Multiple of 793,862 with GCF Formula

Least Common Multiple of 793,862 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 793,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,862) = 1

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

GCF(793,862) x common factors =1 x 1 = 1

LCM(793,862) = ( 793 × 862 ) / 1

LCM(793,862) = 683566 / 1

LCM(793,862) = 683566


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 7097/793, 3775/862

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 7097/793, 3775/862?

Answer: GCF of Numerators as per given numbers 7097/793, 3775/862 is

GCF of Numerators i.e. for 7097,3775 is 151

LCM of denominators i.e. for 793,862 is 683566.

Thus, GCF of Fractions is 151/683566.Finally, GCF of Fractions for 7097/793, 3775/862 is 151/683566.