Greatest Common Factor of 6427/26, 4152/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6427/26, 4152/768

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 6427/26,4152/768

Given fractions are 6427/26,4152/768

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 6427,4152

Greatest Common Factor of Numerators i.e. GCF of 6427,4152 is 1 .

LCM of Denominators means LCM of 26,768 as per the given fractions.

LCM of 26,768 is 9984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6427,4152

GCF of Fractions 6427/26,4152/768 is 1/9984

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

Greatest Common Factor of 6427,4152 By Matching Biggest Common Factor Method

Greatest Common Factor of 6427,4152 By Matching Biggest Common Factor Method

Factors of 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1,6427

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Greatest Common Factor

We found the factors 6427,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 6427,4152 is 1.

Lets's calculate LCM of 26,768

2 26, 768
13, 384

∴ So the LCM of the given numbers is 2 x 13 x 384 = 9984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9984

Therefore, the GCF of Fractions 6427/26,4152/768 is 1/9984

Least Common Multiple of 26,768 with GCF Formula

Least Common Multiple of 26,768 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 26,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,768) = 2

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

GCF(26,768) x common factors =2 x 1 = 2

LCM(26,768) = ( 26 × 768 ) / 2

LCM(26,768) = 19968 / 2

LCM(26,768) = 9984


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 6427/26, 4152/768

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 6427/26, 4152/768?

Answer: GCF of Numerators as per given numbers 6427/26, 4152/768 is

GCF of Numerators i.e. for 6427,4152 is 1

LCM of denominators i.e. for 26,768 is 9984.

Thus, GCF of Fractions is 1/9984.Finally, GCF of Fractions for 6427/26, 4152/768 is 1/9984.