Greatest Common Factor of 6429/932, 2699/3138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6429/932, 2699/3138

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 6429/932,2699/3138

Given fractions are 6429/932,2699/3138

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 6429,2699

Greatest Common Factor of Numerators i.e. GCF of 6429,2699 is 1 .

LCM of Denominators means LCM of 932,3138 as per the given fractions.

LCM of 932,3138 is 1462308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6429,2699

GCF of Fractions 6429/932,2699/3138 is 1/1462308

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

Greatest Common Factor of 6429,2699 By Matching Biggest Common Factor Method

Greatest Common Factor of 6429,2699 By Matching Biggest Common Factor Method

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

Factors of 2699

List of positive integer factors of 2699 that divides 2699 without a remainder.

1,2699

Greatest Common Factor

We found the factors 6429,2699 . The biggest common factor number is the GCF number.
So the greatest common factor 6429,2699 is 1.

Lets's calculate LCM of 932,3138

2 932, 3138
466, 1569

∴ So the LCM of the given numbers is 2 x 466 x 1569 = 1462308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1462308

Therefore, the GCF of Fractions 6429/932,2699/3138 is 1/1462308

Least Common Multiple of 932,3138 with GCF Formula

Least Common Multiple of 932,3138 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 932,3138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,3138) = 2

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

GCF(932,3138) x common factors =2 x 1 = 2

LCM(932,3138) = ( 932 × 3138 ) / 2

LCM(932,3138) = 2924616 / 2

LCM(932,3138) = 1462308


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 6429/932, 2699/3138

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 6429/932, 2699/3138?

Answer: GCF of Numerators as per given numbers 6429/932, 2699/3138 is

GCF of Numerators i.e. for 6429,2699 is 1

LCM of denominators i.e. for 932,3138 is 1462308.

Thus, GCF of Fractions is 1/1462308.Finally, GCF of Fractions for 6429/932, 2699/3138 is 1/1462308.