Greatest Common Factor of 1981/690, 9329/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1981/690, 9329/422

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 1981/690,9329/422

Given fractions are 1981/690,9329/422

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 1981,9329

Greatest Common Factor of Numerators i.e. GCF of 1981,9329 is 1 .

LCM of Denominators means LCM of 690,422 as per the given fractions.

LCM of 690,422 is 145590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1981,9329

GCF of Fractions 1981/690,9329/422 is 1/145590

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

Greatest Common Factor of 1981,9329 By Matching Biggest Common Factor Method

Greatest Common Factor of 1981,9329 By Matching Biggest Common Factor Method

Factors of 1981

List of positive integer factors of 1981 that divides 1981 without a remainder.

1,7,283,1981

Factors of 9329

List of positive integer factors of 9329 that divides 9329 without a remainder.

1,19,491,9329

Greatest Common Factor

We found the factors 1981,9329 . The biggest common factor number is the GCF number.
So the greatest common factor 1981,9329 is 1.

Lets's calculate LCM of 690,422

2 690, 422
345, 211

∴ So the LCM of the given numbers is 2 x 345 x 211 = 145590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145590

Therefore, the GCF of Fractions 1981/690,9329/422 is 1/145590

Least Common Multiple of 690,422 with GCF Formula

Least Common Multiple of 690,422 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 690,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,422) = 2

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

GCF(690,422) x common factors =2 x 1 = 2

LCM(690,422) = ( 690 × 422 ) / 2

LCM(690,422) = 291180 / 2

LCM(690,422) = 145590


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 1981/690, 9329/422

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 1981/690, 9329/422?

Answer: GCF of Numerators as per given numbers 1981/690, 9329/422 is

GCF of Numerators i.e. for 1981,9329 is 1

LCM of denominators i.e. for 690,422 is 145590.

Thus, GCF of Fractions is 1/145590.Finally, GCF of Fractions for 1981/690, 9329/422 is 1/145590.