Greatest Common Factor of 979/50, 817/45, 211/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 979/50, 817/45, 211/491

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 979/50,817/45,211/491

Given fractions are 979/50,817/45,211/491

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 979,817,211

Greatest Common Factor of Numerators i.e. GCF of 979,817,211 is 1 .

LCM of Denominators means LCM of 50,45,491 as per the given fractions.

LCM of 50,45,491 is 220950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 979,817,211

GCF of Fractions 979/50,817/45,211/491 is 1/220950

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

Greatest Common Factor of 979,817,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,817,211 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 979,817,211 . The biggest common factor number is the GCF number.
So the greatest common factor 979,817,211 is 1.

Lets's calculate LCM of 50,45,491

5 50, 45, 491
10, 9, 491

∴ So the LCM of the given numbers is 5 x 10 x 9 x 491 = 220950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220950

Therefore, the GCF of Fractions 979/50,817/45,211/491 is 1/220950

Least Common Multiple of 50,45,491 with GCF Formula

Least Common Multiple of 50,45,491 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 50,45,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,45,491) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(50,45,491) x common factors =1 x 5 = 5

LCM(50,45,491) = ( 50 × 45 × 491 ) / 5

LCM(50,45,491) = 1104750 / 5

LCM(50,45,491) = 220950


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 979/50, 817/45, 211/491

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 979/50, 817/45, 211/491?

Answer: GCF of Numerators as per given numbers 979/50, 817/45, 211/491 is

GCF of Numerators i.e. for 979,817,211 is 1

LCM of denominators i.e. for 50,45,491 is 220950.

Thus, GCF of Fractions is 1/220950.Finally, GCF of Fractions for 979/50, 817/45, 211/491 is 1/220950.