Greatest Common Factor of 6748/677, 4222/7674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6748/677, 4222/7674

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 6748/677,4222/7674

Given fractions are 6748/677,4222/7674

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 6748,4222

Greatest Common Factor of Numerators i.e. GCF of 6748,4222 is 2 .

LCM of Denominators means LCM of 677,7674 as per the given fractions.

LCM of 677,7674 is 5195298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6748,4222

GCF of Fractions 6748/677,4222/7674 is 2/5195298

2 6748, 4222
3374, 2111

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

Greatest Common Factor of 6748,4222 By Matching Biggest Common Factor Method

Greatest Common Factor of 6748,4222 By Matching Biggest Common Factor Method

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1,2,4,7,14,28,241,482,964,1687,3374,6748

Factors of 4222

List of positive integer factors of 4222 that divides 4222 without a remainder.

1,2,2111,4222

Greatest Common Factor

We found the factors 6748,4222 . The biggest common factor number is the GCF number.
So the greatest common factor 6748,4222 is 2.

Lets's calculate LCM of 677,7674

Given numbers has no common factors except 1. So, there LCM is their product i.e 5195298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5195298

Therefore, the GCF of Fractions 6748/677,4222/7674 is 2/5195298

Least Common Multiple of 677,7674 with GCF Formula

Least Common Multiple of 677,7674 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 677,7674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,7674) = 1

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

GCF(677,7674) x common factors =1 x 1 = 1

LCM(677,7674) = ( 677 × 7674 ) / 1

LCM(677,7674) = 5195298 / 1

LCM(677,7674) = 5195298


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 6748/677, 4222/7674

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 6748/677, 4222/7674?

Answer: GCF of Numerators as per given numbers 6748/677, 4222/7674 is

GCF of Numerators i.e. for 6748,4222 is 2

LCM of denominators i.e. for 677,7674 is 5195298.

Thus, GCF of Fractions is 2/5195298.Finally, GCF of Fractions for 6748/677, 4222/7674 is 2/5195298.