Greatest Common Factor of 371/317, 651/752, 900/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/317, 651/752, 900/120

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 371/317,651/752,900/120

Given fractions are 371/317,651/752,900/120

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 371,651,900

Greatest Common Factor of Numerators i.e. GCF of 371,651,900 is 1 .

LCM of Denominators means LCM of 317,752,120 as per the given fractions.

LCM of 317,752,120 is 3575760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,651,900

GCF of Fractions 371/317,651/752,900/120 is 1/3575760

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

Greatest Common Factor of 371,651,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,651,900 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 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 371,651,900 . The biggest common factor number is the GCF number.
So the greatest common factor 371,651,900 is 1.

Lets's calculate LCM of 317,752,120

2 317, 752, 120
2 317, 376, 60
2 317, 188, 30
317, 94, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 317 x 94 x 15 = 3575760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3575760

Therefore, the GCF of Fractions 371/317,651/752,900/120 is 1/3575760

Least Common Multiple of 317,752,120 with GCF Formula

Least Common Multiple of 317,752,120 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 317,752,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,752,120) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(317,752,120) x common factors =1 x 8 = 8

LCM(317,752,120) = ( 317 × 752 × 120 ) / 8

LCM(317,752,120) = 28606080 / 8

LCM(317,752,120) = 3575760


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 371/317, 651/752, 900/120

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 371/317, 651/752, 900/120?

Answer: GCF of Numerators as per given numbers 371/317, 651/752, 900/120 is

GCF of Numerators i.e. for 371,651,900 is 1

LCM of denominators i.e. for 317,752,120 is 3575760.

Thus, GCF of Fractions is 1/3575760.Finally, GCF of Fractions for 371/317, 651/752, 900/120 is 1/3575760.