Greatest Common Factor of 989/20, 460/97, 757/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 989/20, 460/97, 757/905

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 989/20,460/97,757/905

Given fractions are 989/20,460/97,757/905

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 989,460,757

Greatest Common Factor of Numerators i.e. GCF of 989,460,757 is 1 .

LCM of Denominators means LCM of 20,97,905 as per the given fractions.

LCM of 20,97,905 is 351140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 989,460,757

GCF of Fractions 989/20,460/97,757/905 is 1/351140

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

Greatest Common Factor of 989,460,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,460,757 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 989,460,757 . The biggest common factor number is the GCF number.
So the greatest common factor 989,460,757 is 1.

Lets's calculate LCM of 20,97,905

5 20, 97, 905
4, 97, 181

∴ So the LCM of the given numbers is 5 x 4 x 97 x 181 = 351140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351140

Therefore, the GCF of Fractions 989/20,460/97,757/905 is 1/351140

Least Common Multiple of 20,97,905 with GCF Formula

Least Common Multiple of 20,97,905 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 20,97,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,97,905) = 1

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

GCF(20,97,905) x common factors =1 x 5 = 5

LCM(20,97,905) = ( 20 × 97 × 905 ) / 5

LCM(20,97,905) = 1755700 / 5

LCM(20,97,905) = 351140


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 989/20, 460/97, 757/905

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 989/20, 460/97, 757/905?

Answer: GCF of Numerators as per given numbers 989/20, 460/97, 757/905 is

GCF of Numerators i.e. for 989,460,757 is 1

LCM of denominators i.e. for 20,97,905 is 351140.

Thus, GCF of Fractions is 1/351140.Finally, GCF of Fractions for 989/20, 460/97, 757/905 is 1/351140.