Greatest Common Factor of 312/89, 680/1441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/89, 680/1441

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 312/89,680/1441

Given fractions are 312/89,680/1441

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 312,680

Greatest Common Factor of Numerators i.e. GCF of 312,680 is 8 .

LCM of Denominators means LCM of 89,1441 as per the given fractions.

LCM of 89,1441 is 128249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,680

GCF of Fractions 312/89,680/1441 is 8/128249

2 312, 680
2 156, 340
2 78, 170
39, 85

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 312,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,680 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 312,680 . The biggest common factor number is the GCF number.
So the greatest common factor 312,680 is 8.

Lets's calculate LCM of 89,1441

Given numbers has no common factors except 1. So, there LCM is their product i.e 128249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/128249

Therefore, the GCF of Fractions 312/89,680/1441 is 8/128249

Least Common Multiple of 89,1441 with GCF Formula

Least Common Multiple of 89,1441 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 89,1441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,1441) = 1

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

GCF(89,1441) x common factors =1 x 1 = 1

LCM(89,1441) = ( 89 × 1441 ) / 1

LCM(89,1441) = 128249 / 1

LCM(89,1441) = 128249


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 312/89, 680/1441

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 312/89, 680/1441?

Answer: GCF of Numerators as per given numbers 312/89, 680/1441 is

GCF of Numerators i.e. for 312,680 is 8

LCM of denominators i.e. for 89,1441 is 128249.

Thus, GCF of Fractions is 8/128249.Finally, GCF of Fractions for 312/89, 680/1441 is 8/128249.