Greatest Common Factor of 9972/857, 8922/4913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9972/857, 8922/4913

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 9972/857,8922/4913

Given fractions are 9972/857,8922/4913

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 9972,8922

Greatest Common Factor of Numerators i.e. GCF of 9972,8922 is 6 .

LCM of Denominators means LCM of 857,4913 as per the given fractions.

LCM of 857,4913 is 4210441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9972,8922

GCF of Fractions 9972/857,8922/4913 is 6/4210441

2 9972, 8922
3 4986, 4461
1662, 1487

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9972,8922 By Matching Biggest Common Factor Method

Greatest Common Factor of 9972,8922 By Matching Biggest Common Factor Method

Factors of 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972

Factors of 8922

List of positive integer factors of 8922 that divides 8922 without a remainder.

1,2,3,6,1487,2974,4461,8922

Greatest Common Factor

We found the factors 9972,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 9972,8922 is 6.

Lets's calculate LCM of 857,4913

Given numbers has no common factors except 1. So, there LCM is their product i.e 4210441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4210441

Therefore, the GCF of Fractions 9972/857,8922/4913 is 6/4210441

Least Common Multiple of 857,4913 with GCF Formula

Least Common Multiple of 857,4913 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 857,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,4913) = 1

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

GCF(857,4913) x common factors =1 x 1 = 1

LCM(857,4913) = ( 857 × 4913 ) / 1

LCM(857,4913) = 4210441 / 1

LCM(857,4913) = 4210441


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 9972/857, 8922/4913

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 9972/857, 8922/4913?

Answer: GCF of Numerators as per given numbers 9972/857, 8922/4913 is

GCF of Numerators i.e. for 9972,8922 is 6

LCM of denominators i.e. for 857,4913 is 4210441.

Thus, GCF of Fractions is 6/4210441.Finally, GCF of Fractions for 9972/857, 8922/4913 is 6/4210441.