Greatest Common Factor of 3051/786, 5401/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3051/786, 5401/696

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 3051/786,5401/696

Given fractions are 3051/786,5401/696

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 3051,5401

Greatest Common Factor of Numerators i.e. GCF of 3051,5401 is 1 .

LCM of Denominators means LCM of 786,696 as per the given fractions.

LCM of 786,696 is 91176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3051,5401

GCF of Fractions 3051/786,5401/696 is 1/91176

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

Greatest Common Factor of 3051,5401 By Matching Biggest Common Factor Method

Greatest Common Factor of 3051,5401 By Matching Biggest Common Factor Method

Factors of 3051

List of positive integer factors of 3051 that divides 3051 without a remainder.

1,3,9,27,113,339,1017,3051

Factors of 5401

List of positive integer factors of 5401 that divides 5401 without a remainder.

1,11,491,5401

Greatest Common Factor

We found the factors 3051,5401 . The biggest common factor number is the GCF number.
So the greatest common factor 3051,5401 is 1.

Lets's calculate LCM of 786,696

2 786, 696
3 393, 348
131, 116

∴ So the LCM of the given numbers is 2 x 3 x 131 x 116 = 91176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91176

Therefore, the GCF of Fractions 3051/786,5401/696 is 1/91176

Least Common Multiple of 786,696 with GCF Formula

Least Common Multiple of 786,696 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 786,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,696) = 6

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

GCF(786,696) x common factors =6 x 1 = 6

LCM(786,696) = ( 786 × 696 ) / 6

LCM(786,696) = 547056 / 6

LCM(786,696) = 91176


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 3051/786, 5401/696

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 3051/786, 5401/696?

Answer: GCF of Numerators as per given numbers 3051/786, 5401/696 is

GCF of Numerators i.e. for 3051,5401 is 1

LCM of denominators i.e. for 786,696 is 91176.

Thus, GCF of Fractions is 1/91176.Finally, GCF of Fractions for 3051/786, 5401/696 is 1/91176.