Greatest Common Factor of 875/98, 315/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/98, 315/442

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 875/98,315/442

Given fractions are 875/98,315/442

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 875,315

Greatest Common Factor of Numerators i.e. GCF of 875,315 is 35 .

LCM of Denominators means LCM of 98,442 as per the given fractions.

LCM of 98,442 is 21658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,315

GCF of Fractions 875/98,315/442 is 35/21658

5 875, 315
7 175, 63
25, 9

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 875,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,315 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 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 875,315 . The biggest common factor number is the GCF number.
So the greatest common factor 875,315 is 35.

Lets's calculate LCM of 98,442

2 98, 442
49, 221

∴ So the LCM of the given numbers is 2 x 49 x 221 = 21658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/21658

Therefore, the GCF of Fractions 875/98,315/442 is 35/21658

Least Common Multiple of 98,442 with GCF Formula

Least Common Multiple of 98,442 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 98,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,442) = 2

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

GCF(98,442) x common factors =2 x 1 = 2

LCM(98,442) = ( 98 × 442 ) / 2

LCM(98,442) = 43316 / 2

LCM(98,442) = 21658


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 875/98, 315/442

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 875/98, 315/442?

Answer: GCF of Numerators as per given numbers 875/98, 315/442 is

GCF of Numerators i.e. for 875,315 is 35

LCM of denominators i.e. for 98,442 is 21658.

Thus, GCF of Fractions is 35/21658.Finally, GCF of Fractions for 875/98, 315/442 is 35/21658.