Greatest Common Factor of 6274/67, 6770/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6274/67, 6770/691

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 6274/67,6770/691

Given fractions are 6274/67,6770/691

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 6274,6770

Greatest Common Factor of Numerators i.e. GCF of 6274,6770 is 2 .

LCM of Denominators means LCM of 67,691 as per the given fractions.

LCM of 67,691 is 46297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6274,6770

GCF of Fractions 6274/67,6770/691 is 2/46297

2 6274, 6770
3137, 3385

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

Greatest Common Factor of 6274,6770 By Matching Biggest Common Factor Method

Greatest Common Factor of 6274,6770 By Matching Biggest Common Factor Method

Factors of 6274

List of positive integer factors of 6274 that divides 6274 without a remainder.

1,2,3137,6274

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1,2,5,10,677,1354,3385,6770

Greatest Common Factor

We found the factors 6274,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 6274,6770 is 2.

Lets's calculate LCM of 67,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 46297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46297

Therefore, the GCF of Fractions 6274/67,6770/691 is 2/46297

Least Common Multiple of 67,691 with GCF Formula

Least Common Multiple of 67,691 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 67,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,691) = 1

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

GCF(67,691) x common factors =1 x 1 = 1

LCM(67,691) = ( 67 × 691 ) / 1

LCM(67,691) = 46297 / 1

LCM(67,691) = 46297


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 6274/67, 6770/691

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 6274/67, 6770/691?

Answer: GCF of Numerators as per given numbers 6274/67, 6770/691 is

GCF of Numerators i.e. for 6274,6770 is 2

LCM of denominators i.e. for 67,691 is 46297.

Thus, GCF of Fractions is 2/46297.Finally, GCF of Fractions for 6274/67, 6770/691 is 2/46297.