Greatest Common Factor of 9850/973, 7075/8981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9850/973, 7075/8981

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 9850/973,7075/8981

Given fractions are 9850/973,7075/8981

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 9850,7075

Greatest Common Factor of Numerators i.e. GCF of 9850,7075 is 25 .

LCM of Denominators means LCM of 973,8981 as per the given fractions.

LCM of 973,8981 is 1248359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9850,7075

GCF of Fractions 9850/973,7075/8981 is 25/1248359

5 9850, 7075
5 1970, 1415
394, 283

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 9850,7075 By Matching Biggest Common Factor Method

Greatest Common Factor of 9850,7075 By Matching Biggest Common Factor Method

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1,2,5,10,25,50,197,394,985,1970,4925,9850

Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1,5,25,283,1415,7075

Greatest Common Factor

We found the factors 9850,7075 . The biggest common factor number is the GCF number.
So the greatest common factor 9850,7075 is 25.

Lets's calculate LCM of 973,8981

7 973, 8981
139, 1283

∴ So the LCM of the given numbers is 7 x 139 x 1283 = 1248359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1248359

Therefore, the GCF of Fractions 9850/973,7075/8981 is 25/1248359

Least Common Multiple of 973,8981 with GCF Formula

Least Common Multiple of 973,8981 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 973,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,8981) = 7

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

GCF(973,8981) x common factors =7 x 1 = 7

LCM(973,8981) = ( 973 × 8981 ) / 7

LCM(973,8981) = 8738513 / 7

LCM(973,8981) = 1248359


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 9850/973, 7075/8981

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 9850/973, 7075/8981?

Answer: GCF of Numerators as per given numbers 9850/973, 7075/8981 is

GCF of Numerators i.e. for 9850,7075 is 25

LCM of denominators i.e. for 973,8981 is 1248359.

Thus, GCF of Fractions is 25/1248359.Finally, GCF of Fractions for 9850/973, 7075/8981 is 25/1248359.