Greatest Common Factor of 7716/56, 1680/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7716/56, 1680/269

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 7716/56,1680/269

Given fractions are 7716/56,1680/269

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 7716,1680

Greatest Common Factor of Numerators i.e. GCF of 7716,1680 is 12 .

LCM of Denominators means LCM of 56,269 as per the given fractions.

LCM of 56,269 is 15064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7716,1680

GCF of Fractions 7716/56,1680/269 is 12/15064

2 7716, 1680
2 3858, 840
3 1929, 420
643, 140

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 7716,1680 By Matching Biggest Common Factor Method

Greatest Common Factor of 7716,1680 By Matching Biggest Common Factor Method

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Factors of 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680

Greatest Common Factor

We found the factors 7716,1680 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,1680 is 12.

Lets's calculate LCM of 56,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 15064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/15064

Therefore, the GCF of Fractions 7716/56,1680/269 is 12/15064

Least Common Multiple of 56,269 with GCF Formula

Least Common Multiple of 56,269 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 56,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,269) = 1

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

GCF(56,269) x common factors =1 x 1 = 1

LCM(56,269) = ( 56 × 269 ) / 1

LCM(56,269) = 15064 / 1

LCM(56,269) = 15064


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 7716/56, 1680/269

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 7716/56, 1680/269?

Answer: GCF of Numerators as per given numbers 7716/56, 1680/269 is

GCF of Numerators i.e. for 7716,1680 is 12

LCM of denominators i.e. for 56,269 is 15064.

Thus, GCF of Fractions is 12/15064.Finally, GCF of Fractions for 7716/56, 1680/269 is 12/15064.