Greatest Common Factor of 371/83, 312/64, 208/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/83, 312/64, 208/60

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 371/83,312/64,208/60

Given fractions are 371/83,312/64,208/60

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 371,312,208

Greatest Common Factor of Numerators i.e. GCF of 371,312,208 is 1 .

LCM of Denominators means LCM of 83,64,60 as per the given fractions.

LCM of 83,64,60 is 79680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,312,208

GCF of Fractions 371/83,312/64,208/60 is 1/79680

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 371,312,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,312,208 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

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 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 371,312,208 . The biggest common factor number is the GCF number.
So the greatest common factor 371,312,208 is 1.

Lets's calculate LCM of 83,64,60

2 83, 64, 60
2 83, 32, 30
83, 16, 15

∴ So the LCM of the given numbers is 2 x 2 x 83 x 16 x 15 = 79680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79680

Therefore, the GCF of Fractions 371/83,312/64,208/60 is 1/79680

Least Common Multiple of 83,64,60 with GCF Formula

Least Common Multiple of 83,64,60 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 83,64,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,64,60) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(83,64,60) x common factors =1 x 4 = 4

LCM(83,64,60) = ( 83 × 64 × 60 ) / 4

LCM(83,64,60) = 318720 / 4

LCM(83,64,60) = 79680


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 371/83, 312/64, 208/60

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 371/83, 312/64, 208/60?

Answer: GCF of Numerators as per given numbers 371/83, 312/64, 208/60 is

GCF of Numerators i.e. for 371,312,208 is 1

LCM of denominators i.e. for 83,64,60 is 79680.

Thus, GCF of Fractions is 1/79680.Finally, GCF of Fractions for 371/83, 312/64, 208/60 is 1/79680.