Greatest Common Factor of 987/980, 4851/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/980, 4851/224

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 987/980,4851/224

Given fractions are 987/980,4851/224

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 987,4851

Greatest Common Factor of Numerators i.e. GCF of 987,4851 is 21 .

LCM of Denominators means LCM of 980,224 as per the given fractions.

LCM of 980,224 is 7840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,4851

GCF of Fractions 987/980,4851/224 is 21/7840

3 987, 4851
7 329, 1617
47, 231

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 987,4851 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,4851 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1,3,7,9,11,21,33,49,63,77,99,147,231,441,539,693,1617,4851

Greatest Common Factor

We found the factors 987,4851 . The biggest common factor number is the GCF number.
So the greatest common factor 987,4851 is 21.

Lets's calculate LCM of 980,224

2 980, 224
2 490, 112
7 245, 56
35, 8

∴ So the LCM of the given numbers is 2 x 2 x 7 x 35 x 8 = 7840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/7840

Therefore, the GCF of Fractions 987/980,4851/224 is 21/7840

Least Common Multiple of 980,224 with GCF Formula

Least Common Multiple of 980,224 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 980,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,224) = 28

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

GCF(980,224) x common factors =28 x 1 = 28

LCM(980,224) = ( 980 × 224 ) / 28

LCM(980,224) = 219520 / 28

LCM(980,224) = 7840


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 987/980, 4851/224

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 987/980, 4851/224?

Answer: GCF of Numerators as per given numbers 987/980, 4851/224 is

GCF of Numerators i.e. for 987,4851 is 21

LCM of denominators i.e. for 980,224 is 7840.

Thus, GCF of Fractions is 21/7840.Finally, GCF of Fractions for 987/980, 4851/224 is 21/7840.