Greatest Common Factor of 7262/667, 6770/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7262/667, 6770/684

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 7262/667,6770/684

Given fractions are 7262/667,6770/684

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 7262,6770

Greatest Common Factor of Numerators i.e. GCF of 7262,6770 is 2 .

LCM of Denominators means LCM of 667,684 as per the given fractions.

LCM of 667,684 is 456228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7262,6770

GCF of Fractions 7262/667,6770/684 is 2/456228

2 7262, 6770
3631, 3385

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

Greatest Common Factor of 7262,6770 By Matching Biggest Common Factor Method

Greatest Common Factor of 7262,6770 By Matching Biggest Common Factor Method

Factors of 7262

List of positive integer factors of 7262 that divides 7262 without a remainder.

1,2,3631,7262

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 7262,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 7262,6770 is 2.

Lets's calculate LCM of 667,684

Given numbers has no common factors except 1. So, there LCM is their product i.e 456228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/456228

Therefore, the GCF of Fractions 7262/667,6770/684 is 2/456228

Least Common Multiple of 667,684 with GCF Formula

Least Common Multiple of 667,684 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 667,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,684) = 1

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

GCF(667,684) x common factors =1 x 1 = 1

LCM(667,684) = ( 667 × 684 ) / 1

LCM(667,684) = 456228 / 1

LCM(667,684) = 456228


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 7262/667, 6770/684

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 7262/667, 6770/684?

Answer: GCF of Numerators as per given numbers 7262/667, 6770/684 is

GCF of Numerators i.e. for 7262,6770 is 2

LCM of denominators i.e. for 667,684 is 456228.

Thus, GCF of Fractions is 2/456228.Finally, GCF of Fractions for 7262/667, 6770/684 is 2/456228.