Greatest Common Factor of 102/813, 536/610, 968/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/813, 536/610, 968/511

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 102/813,536/610,968/511

Given fractions are 102/813,536/610,968/511

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 102,536,968

Greatest Common Factor of Numerators i.e. GCF of 102,536,968 is 2 .

LCM of Denominators means LCM of 813,610,511 as per the given fractions.

LCM of 813,610,511 is 253420230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,536,968

GCF of Fractions 102/813,536/610,968/511 is 2/253420230

2 102, 536, 968
51, 268, 484

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 102,536,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,536,968 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 102,536,968 . The biggest common factor number is the GCF number.
So the greatest common factor 102,536,968 is 2.

Lets's calculate LCM of 813,610,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 253420230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253420230

Therefore, the GCF of Fractions 102/813,536/610,968/511 is 2/253420230

Least Common Multiple of 813,610,511 with GCF Formula

Least Common Multiple of 813,610,511 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 813,610,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,610,511) = 1

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

GCF(813,610,511) x common factors =1 x 1 = 1

LCM(813,610,511) = ( 813 × 610 × 511 ) / 1

LCM(813,610,511) = 253420230 / 1

LCM(813,610,511) = 253420230


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 102/813, 536/610, 968/511

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 102/813, 536/610, 968/511?

Answer: GCF of Numerators as per given numbers 102/813, 536/610, 968/511 is

GCF of Numerators i.e. for 102,536,968 is 2

LCM of denominators i.e. for 813,610,511 is 253420230.

Thus, GCF of Fractions is 2/253420230.Finally, GCF of Fractions for 102/813, 536/610, 968/511 is 2/253420230.