Greatest Common Factor of 2662/12, 7966/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2662/12, 7966/680

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 2662/12,7966/680

Given fractions are 2662/12,7966/680

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 2662,7966

Greatest Common Factor of Numerators i.e. GCF of 2662,7966 is 2 .

LCM of Denominators means LCM of 12,680 as per the given fractions.

LCM of 12,680 is 2040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2662,7966

GCF of Fractions 2662/12,7966/680 is 2/2040

2 2662, 7966
1331, 3983

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

Greatest Common Factor of 2662,7966 By Matching Biggest Common Factor Method

Greatest Common Factor of 2662,7966 By Matching Biggest Common Factor Method

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1,2,11,22,121,242,1331,2662

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1,2,7,14,569,1138,3983,7966

Greatest Common Factor

We found the factors 2662,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 2662,7966 is 2.

Lets's calculate LCM of 12,680

2 12, 680
2 6, 340
3, 170

∴ So the LCM of the given numbers is 2 x 2 x 3 x 170 = 2040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2040

Therefore, the GCF of Fractions 2662/12,7966/680 is 2/2040

Least Common Multiple of 12,680 with GCF Formula

Least Common Multiple of 12,680 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 12,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,680) = 4

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

GCF(12,680) x common factors =4 x 1 = 4

LCM(12,680) = ( 12 × 680 ) / 4

LCM(12,680) = 8160 / 4

LCM(12,680) = 2040


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 2662/12, 7966/680

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 2662/12, 7966/680?

Answer: GCF of Numerators as per given numbers 2662/12, 7966/680 is

GCF of Numerators i.e. for 2662,7966 is 2

LCM of denominators i.e. for 12,680 is 2040.

Thus, GCF of Fractions is 2/2040.Finally, GCF of Fractions for 2662/12, 7966/680 is 2/2040.