Greatest Common Factor of 982/98, 798/72, 935/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/98, 798/72, 935/763

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 982/98,798/72,935/763

Given fractions are 982/98,798/72,935/763

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 982,798,935

Greatest Common Factor of Numerators i.e. GCF of 982,798,935 is 1 .

LCM of Denominators means LCM of 98,72,763 as per the given fractions.

LCM of 98,72,763 is 384552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,798,935

GCF of Fractions 982/98,798/72,935/763 is 1/384552

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

Greatest Common Factor of 982,798,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,798,935 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 982,798,935 . The biggest common factor number is the GCF number.
So the greatest common factor 982,798,935 is 1.

Lets's calculate LCM of 98,72,763

2 98, 72, 763
7 49, 36, 763
7, 36, 109

∴ So the LCM of the given numbers is 2 x 7 x 7 x 36 x 109 = 384552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384552

Therefore, the GCF of Fractions 982/98,798/72,935/763 is 1/384552

Least Common Multiple of 98,72,763 with GCF Formula

Least Common Multiple of 98,72,763 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 98,72,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,72,763) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(98,72,763) x common factors =1 x 14 = 14

LCM(98,72,763) = ( 98 × 72 × 763 ) / 14

LCM(98,72,763) = 5383728 / 14

LCM(98,72,763) = 384552


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 982/98, 798/72, 935/763

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 982/98, 798/72, 935/763?

Answer: GCF of Numerators as per given numbers 982/98, 798/72, 935/763 is

GCF of Numerators i.e. for 982,798,935 is 1

LCM of denominators i.e. for 98,72,763 is 384552.

Thus, GCF of Fractions is 1/384552.Finally, GCF of Fractions for 982/98, 798/72, 935/763 is 1/384552.