Greatest Common Factor of 826/98, 702/57, 785/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/98, 702/57, 785/31

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 826/98,702/57,785/31

Given fractions are 826/98,702/57,785/31

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 826,702,785

Greatest Common Factor of Numerators i.e. GCF of 826,702,785 is 1 .

LCM of Denominators means LCM of 98,57,31 as per the given fractions.

LCM of 98,57,31 is 173166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,702,785

GCF of Fractions 826/98,702/57,785/31 is 1/173166

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

Greatest Common Factor of 826,702,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,702,785 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 826,702,785 . The biggest common factor number is the GCF number.
So the greatest common factor 826,702,785 is 1.

Lets's calculate LCM of 98,57,31

Given numbers has no common factors except 1. So, there LCM is their product i.e 173166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173166

Therefore, the GCF of Fractions 826/98,702/57,785/31 is 1/173166

Least Common Multiple of 98,57,31 with GCF Formula

Least Common Multiple of 98,57,31 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 98,57,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,57,31) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(98,57,31) x common factors =1 x 1 = 1

LCM(98,57,31) = ( 98 × 57 × 31 ) / 1

LCM(98,57,31) = 173166 / 1

LCM(98,57,31) = 173166


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 826/98, 702/57, 785/31

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 826/98, 702/57, 785/31?

Answer: GCF of Numerators as per given numbers 826/98, 702/57, 785/31 is

GCF of Numerators i.e. for 826,702,785 is 1

LCM of denominators i.e. for 98,57,31 is 173166.

Thus, GCF of Fractions is 1/173166.Finally, GCF of Fractions for 826/98, 702/57, 785/31 is 1/173166.