Greatest Common Factor of 990/974, 9971/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/974, 9971/514

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 990/974,9971/514

Given fractions are 990/974,9971/514

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 990,9971

Greatest Common Factor of Numerators i.e. GCF of 990,9971 is 1 .

LCM of Denominators means LCM of 974,514 as per the given fractions.

LCM of 974,514 is 250318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,9971

GCF of Fractions 990/974,9971/514 is 1/250318

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

Greatest Common Factor of 990,9971 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,9971 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Greatest Common Factor

We found the factors 990,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 990,9971 is 1.

Lets's calculate LCM of 974,514

2 974, 514
487, 257

∴ So the LCM of the given numbers is 2 x 487 x 257 = 250318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250318

Therefore, the GCF of Fractions 990/974,9971/514 is 1/250318

Least Common Multiple of 974,514 with GCF Formula

Least Common Multiple of 974,514 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 974,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,514) = 2

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

GCF(974,514) x common factors =2 x 1 = 2

LCM(974,514) = ( 974 × 514 ) / 2

LCM(974,514) = 500636 / 2

LCM(974,514) = 250318


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 990/974, 9971/514

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 990/974, 9971/514?

Answer: GCF of Numerators as per given numbers 990/974, 9971/514 is

GCF of Numerators i.e. for 990,9971 is 1

LCM of denominators i.e. for 974,514 is 250318.

Thus, GCF of Fractions is 1/250318.Finally, GCF of Fractions for 990/974, 9971/514 is 1/250318.