Greatest Common Factor of 6766/440, 2922/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6766/440, 2922/700

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 6766/440,2922/700

Given fractions are 6766/440,2922/700

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 6766,2922

Greatest Common Factor of Numerators i.e. GCF of 6766,2922 is 2 .

LCM of Denominators means LCM of 440,700 as per the given fractions.

LCM of 440,700 is 15400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6766,2922

GCF of Fractions 6766/440,2922/700 is 2/15400

2 6766, 2922
3383, 1461

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

Greatest Common Factor of 6766,2922 By Matching Biggest Common Factor Method

Greatest Common Factor of 6766,2922 By Matching Biggest Common Factor Method

Factors of 6766

List of positive integer factors of 6766 that divides 6766 without a remainder.

1,2,17,34,199,398,3383,6766

Factors of 2922

List of positive integer factors of 2922 that divides 2922 without a remainder.

1,2,3,6,487,974,1461,2922

Greatest Common Factor

We found the factors 6766,2922 . The biggest common factor number is the GCF number.
So the greatest common factor 6766,2922 is 2.

Lets's calculate LCM of 440,700

2 440, 700
2 220, 350
5 110, 175
22, 35

∴ So the LCM of the given numbers is 2 x 2 x 5 x 22 x 35 = 15400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15400

Therefore, the GCF of Fractions 6766/440,2922/700 is 2/15400

Least Common Multiple of 440,700 with GCF Formula

Least Common Multiple of 440,700 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 440,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,700) = 20

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

GCF(440,700) x common factors =20 x 1 = 20

LCM(440,700) = ( 440 × 700 ) / 20

LCM(440,700) = 308000 / 20

LCM(440,700) = 15400


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 6766/440, 2922/700

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 6766/440, 2922/700?

Answer: GCF of Numerators as per given numbers 6766/440, 2922/700 is

GCF of Numerators i.e. for 6766,2922 is 2

LCM of denominators i.e. for 440,700 is 15400.

Thus, GCF of Fractions is 2/15400.Finally, GCF of Fractions for 6766/440, 2922/700 is 2/15400.