Greatest Common Factor of 875/315, 7032/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/315, 7032/196

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 875/315,7032/196

Given fractions are 875/315,7032/196

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 875,7032

Greatest Common Factor of Numerators i.e. GCF of 875,7032 is 1 .

LCM of Denominators means LCM of 315,196 as per the given fractions.

LCM of 315,196 is 8820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,7032

GCF of Fractions 875/315,7032/196 is 1/8820

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

Greatest Common Factor of 875,7032 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,7032 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032

Greatest Common Factor

We found the factors 875,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 875,7032 is 1.

Lets's calculate LCM of 315,196

7 315, 196
45, 28

∴ So the LCM of the given numbers is 7 x 45 x 28 = 8820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8820

Therefore, the GCF of Fractions 875/315,7032/196 is 1/8820

Least Common Multiple of 315,196 with GCF Formula

Least Common Multiple of 315,196 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 315,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,196) = 7

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

GCF(315,196) x common factors =7 x 1 = 7

LCM(315,196) = ( 315 × 196 ) / 7

LCM(315,196) = 61740 / 7

LCM(315,196) = 8820


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 875/315, 7032/196

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 875/315, 7032/196?

Answer: GCF of Numerators as per given numbers 875/315, 7032/196 is

GCF of Numerators i.e. for 875,7032 is 1

LCM of denominators i.e. for 315,196 is 8820.

Thus, GCF of Fractions is 1/8820.Finally, GCF of Fractions for 875/315, 7032/196 is 1/8820.