Greatest Common Factor of 9474/30, 1322/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9474/30, 1322/891

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 9474/30,1322/891

Given fractions are 9474/30,1322/891

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 9474,1322

Greatest Common Factor of Numerators i.e. GCF of 9474,1322 is 2 .

LCM of Denominators means LCM of 30,891 as per the given fractions.

LCM of 30,891 is 8910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9474,1322

GCF of Fractions 9474/30,1322/891 is 2/8910

2 9474, 1322
4737, 661

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9474,1322 By Matching Biggest Common Factor Method

Greatest Common Factor of 9474,1322 By Matching Biggest Common Factor Method

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1,2,661,1322

Greatest Common Factor

We found the factors 9474,1322 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,1322 is 2.

Lets's calculate LCM of 30,891

3 30, 891
10, 297

∴ So the LCM of the given numbers is 3 x 10 x 297 = 8910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8910

Therefore, the GCF of Fractions 9474/30,1322/891 is 2/8910

Least Common Multiple of 30,891 with GCF Formula

Least Common Multiple of 30,891 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 30,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,891) = 3

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

GCF(30,891) x common factors =3 x 1 = 3

LCM(30,891) = ( 30 × 891 ) / 3

LCM(30,891) = 26730 / 3

LCM(30,891) = 8910


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 9474/30, 1322/891

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 9474/30, 1322/891?

Answer: GCF of Numerators as per given numbers 9474/30, 1322/891 is

GCF of Numerators i.e. for 9474,1322 is 2

LCM of denominators i.e. for 30,891 is 8910.

Thus, GCF of Fractions is 2/8910.Finally, GCF of Fractions for 9474/30, 1322/891 is 2/8910.