Greatest Common Factor of 9/37, 75/47, 70/633, 302/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/37, 75/47, 70/633, 302/658

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 9/37,75/47,70/633,302/658

Given fractions are 9/37,75/47,70/633,302/658

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 9,75,70,302

Greatest Common Factor of Numerators i.e. GCF of 9,75,70,302 is 1 .

LCM of Denominators means LCM of 37,47,633,658 as per the given fractions.

LCM of 37,47,633,658 is 15411018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,75,70,302

GCF of Fractions 9/37,75/47,70/633,302/658 is 1/15411018

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

Greatest Common Factor of 9,75,70,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,75,70,302 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 9,75,70,302 . The biggest common factor number is the GCF number.
So the greatest common factor 9,75,70,302 is 1.

Lets's calculate LCM of 37,47,633,658

47 37, 47, 633, 658
37, 1, 633, 14

∴ So the LCM of the given numbers is 47 x 37 x 1 x 633 x 14 = 15411018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15411018

Therefore, the GCF of Fractions 9/37,75/47,70/633,302/658 is 1/15411018

Least Common Multiple of 37,47,633,658 with GCF Formula

Least Common Multiple of 37,47,633,658 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 37,47,633,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,47,633,658) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(37,47,633,658) x common factors =1 x 47 = 47

LCM(37,47,633,658) = ( 37 × 47 × 633 × 658 ) / 47

LCM(37,47,633,658) = 724317846 / 47

LCM(37,47,633,658) = 15411018


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 9/37, 75/47, 70/633, 302/658

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 9/37, 75/47, 70/633, 302/658?

Answer: GCF of Numerators as per given numbers 9/37, 75/47, 70/633, 302/658 is

GCF of Numerators i.e. for 9,75,70,302 is 1

LCM of denominators i.e. for 37,47,633,658 is 15411018.

Thus, GCF of Fractions is 1/15411018.Finally, GCF of Fractions for 9/37, 75/47, 70/633, 302/658 is 1/15411018.