Greatest Common Factor of 873/76, 553/48, 998/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 873/76, 553/48, 998/20

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 873/76,553/48,998/20

Given fractions are 873/76,553/48,998/20

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 873,553,998

Greatest Common Factor of Numerators i.e. GCF of 873,553,998 is 1 .

LCM of Denominators means LCM of 76,48,20 as per the given fractions.

LCM of 76,48,20 is 4560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 873,553,998

GCF of Fractions 873/76,553/48,998/20 is 1/4560

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

Greatest Common Factor of 873,553,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,553,998 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 873,553,998 . The biggest common factor number is the GCF number.
So the greatest common factor 873,553,998 is 1.

Lets's calculate LCM of 76,48,20

2 76, 48, 20
2 38, 24, 10
19, 12, 5

∴ So the LCM of the given numbers is 2 x 2 x 19 x 12 x 5 = 4560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4560

Therefore, the GCF of Fractions 873/76,553/48,998/20 is 1/4560

Least Common Multiple of 76,48,20 with GCF Formula

Least Common Multiple of 76,48,20 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 76,48,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,48,20) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(76,48,20) x common factors =4 x 4 = 16

LCM(76,48,20) = ( 76 × 48 × 20 ) / 16

LCM(76,48,20) = 72960 / 16

LCM(76,48,20) = 4560


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 873/76, 553/48, 998/20

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 873/76, 553/48, 998/20?

Answer: GCF of Numerators as per given numbers 873/76, 553/48, 998/20 is

GCF of Numerators i.e. for 873,553,998 is 1

LCM of denominators i.e. for 76,48,20 is 4560.

Thus, GCF of Fractions is 1/4560.Finally, GCF of Fractions for 873/76, 553/48, 998/20 is 1/4560.