Greatest Common Factor of 997/94, 889/22, 470/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 997/94, 889/22, 470/491

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 997/94,889/22,470/491

Given fractions are 997/94,889/22,470/491

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 997,889,470

Greatest Common Factor of Numerators i.e. GCF of 997,889,470 is 1 .

LCM of Denominators means LCM of 94,22,491 as per the given fractions.

LCM of 94,22,491 is 507694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,889,470

GCF of Fractions 997/94,889/22,470/491 is 1/507694

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

Greatest Common Factor of 997,889,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,889,470 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 997,889,470 . The biggest common factor number is the GCF number.
So the greatest common factor 997,889,470 is 1.


Lets's calculate LCM of 94,22,491

2 94, 22, 491
47, 11, 491

∴ So the LCM of the given numbers is 2 x 47 x 11 x 491 = 507694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507694

Therefore, the GCF of Fractions 997/94,889/22,470/491 is 1/507694

Least Common Multiple of 94,22,491 with GCF Formula

Least Common Multiple of 94,22,491 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 94,22,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,22,491) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,22,491) x common factors =1 x 2 = 2

LCM(94,22,491) = ( 94 × 22 × 491 ) / 2

LCM(94,22,491) = 1015388 / 2

LCM(94,22,491) = 507694


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 997/94, 889/22, 470/491

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 997/94, 889/22, 470/491?

Answer: GCF of Numerators as per given numbers 997/94, 889/22, 470/491 is

GCF of Numerators i.e. for 997,889,470 is 1

LCM of denominators i.e. for 94,22,491 is 507694.

Thus, GCF of Fractions is 1/507694.Finally, GCF of Fractions for 997/94, 889/22, 470/491 is 1/507694.