Greatest Common Factor of 9124/936, 5350/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9124/936, 5350/380

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 9124/936,5350/380

Given fractions are 9124/936,5350/380

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 9124,5350

Greatest Common Factor of Numerators i.e. GCF of 9124,5350 is 2 .

LCM of Denominators means LCM of 936,380 as per the given fractions.

LCM of 936,380 is 88920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9124,5350

GCF of Fractions 9124/936,5350/380 is 2/88920

2 9124, 5350
4562, 2675

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

Greatest Common Factor of 9124,5350 By Matching Biggest Common Factor Method

Greatest Common Factor of 9124,5350 By Matching Biggest Common Factor Method

Factors of 9124

List of positive integer factors of 9124 that divides 9124 without a remainder.

1,2,4,2281,4562,9124

Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1,2,5,10,25,50,107,214,535,1070,2675,5350

Greatest Common Factor

We found the factors 9124,5350 . The biggest common factor number is the GCF number.
So the greatest common factor 9124,5350 is 2.

Lets's calculate LCM of 936,380

2 936, 380
2 468, 190
234, 95

∴ So the LCM of the given numbers is 2 x 2 x 234 x 95 = 88920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88920

Therefore, the GCF of Fractions 9124/936,5350/380 is 2/88920

Least Common Multiple of 936,380 with GCF Formula

Least Common Multiple of 936,380 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 936,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,380) = 4

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

GCF(936,380) x common factors =4 x 1 = 4

LCM(936,380) = ( 936 × 380 ) / 4

LCM(936,380) = 355680 / 4

LCM(936,380) = 88920


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 9124/936, 5350/380

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 9124/936, 5350/380?

Answer: GCF of Numerators as per given numbers 9124/936, 5350/380 is

GCF of Numerators i.e. for 9124,5350 is 2

LCM of denominators i.e. for 936,380 is 88920.

Thus, GCF of Fractions is 2/88920.Finally, GCF of Fractions for 9124/936, 5350/380 is 2/88920.