Greatest Common Factor of 7175/632, 7139/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7175/632, 7139/851

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 7175/632,7139/851

Given fractions are 7175/632,7139/851

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 7175,7139

Greatest Common Factor of Numerators i.e. GCF of 7175,7139 is 1 .

LCM of Denominators means LCM of 632,851 as per the given fractions.

LCM of 632,851 is 537832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7175,7139

GCF of Fractions 7175/632,7139/851 is 1/537832

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

Greatest Common Factor of 7175,7139 By Matching Biggest Common Factor Method

Greatest Common Factor of 7175,7139 By Matching Biggest Common Factor Method

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Greatest Common Factor

We found the factors 7175,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 7175,7139 is 1.

Lets's calculate LCM of 632,851

Given numbers has no common factors except 1. So, there LCM is their product i.e 537832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537832

Therefore, the GCF of Fractions 7175/632,7139/851 is 1/537832

Least Common Multiple of 632,851 with GCF Formula

Least Common Multiple of 632,851 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 632,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,851) = 1

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

GCF(632,851) x common factors =1 x 1 = 1

LCM(632,851) = ( 632 × 851 ) / 1

LCM(632,851) = 537832 / 1

LCM(632,851) = 537832


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 7175/632, 7139/851

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 7175/632, 7139/851?

Answer: GCF of Numerators as per given numbers 7175/632, 7139/851 is

GCF of Numerators i.e. for 7175,7139 is 1

LCM of denominators i.e. for 632,851 is 537832.

Thus, GCF of Fractions is 1/537832.Finally, GCF of Fractions for 7175/632, 7139/851 is 1/537832.