Greatest Common Factor of 7792/146, 6668/8720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7792/146, 6668/8720

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 7792/146,6668/8720

Given fractions are 7792/146,6668/8720

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 7792,6668

Greatest Common Factor of Numerators i.e. GCF of 7792,6668 is 4 .

LCM of Denominators means LCM of 146,8720 as per the given fractions.

LCM of 146,8720 is 636560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7792,6668

GCF of Fractions 7792/146,6668/8720 is 4/636560

2 7792, 6668
2 3896, 3334
1948, 1667

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7792,6668 By Matching Biggest Common Factor Method

Greatest Common Factor of 7792,6668 By Matching Biggest Common Factor Method

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1,2,4,8,16,487,974,1948,3896,7792

Factors of 6668

List of positive integer factors of 6668 that divides 6668 without a remainder.

1,2,4,1667,3334,6668

Greatest Common Factor

We found the factors 7792,6668 . The biggest common factor number is the GCF number.
So the greatest common factor 7792,6668 is 4.

Lets's calculate LCM of 146,8720

2 146, 8720
73, 4360

∴ So the LCM of the given numbers is 2 x 73 x 4360 = 636560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/636560

Therefore, the GCF of Fractions 7792/146,6668/8720 is 4/636560

Least Common Multiple of 146,8720 with GCF Formula

Least Common Multiple of 146,8720 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 146,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,8720) = 2

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

GCF(146,8720) x common factors =2 x 1 = 2

LCM(146,8720) = ( 146 × 8720 ) / 2

LCM(146,8720) = 1273120 / 2

LCM(146,8720) = 636560


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 7792/146, 6668/8720

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 7792/146, 6668/8720?

Answer: GCF of Numerators as per given numbers 7792/146, 6668/8720 is

GCF of Numerators i.e. for 7792,6668 is 4

LCM of denominators i.e. for 146,8720 is 636560.

Thus, GCF of Fractions is 4/636560.Finally, GCF of Fractions for 7792/146, 6668/8720 is 4/636560.