Greatest Common Factor of 1150/208, 7195/9120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1150/208, 7195/9120

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 1150/208,7195/9120

Given fractions are 1150/208,7195/9120

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 1150,7195

Greatest Common Factor of Numerators i.e. GCF of 1150,7195 is 5 .

LCM of Denominators means LCM of 208,9120 as per the given fractions.

LCM of 208,9120 is 118560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1150,7195

GCF of Fractions 1150/208,7195/9120 is 5/118560

5 1150, 7195
230, 1439

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1150,7195 By Matching Biggest Common Factor Method

Greatest Common Factor of 1150,7195 By Matching Biggest Common Factor Method

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1,2,5,10,23,25,46,50,115,230,575,1150

Factors of 7195

List of positive integer factors of 7195 that divides 7195 without a remainder.

1,5,1439,7195

Greatest Common Factor

We found the factors 1150,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,7195 is 5.

Lets's calculate LCM of 208,9120

2 208, 9120
2 104, 4560
2 52, 2280
2 26, 1140
13, 570

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 570 = 118560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/118560

Therefore, the GCF of Fractions 1150/208,7195/9120 is 5/118560

Least Common Multiple of 208,9120 with GCF Formula

Least Common Multiple of 208,9120 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 208,9120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,9120) = 16

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

GCF(208,9120) x common factors =16 x 1 = 16

LCM(208,9120) = ( 208 × 9120 ) / 16

LCM(208,9120) = 1896960 / 16

LCM(208,9120) = 118560


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 1150/208, 7195/9120

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 1150/208, 7195/9120?

Answer: GCF of Numerators as per given numbers 1150/208, 7195/9120 is

GCF of Numerators i.e. for 1150,7195 is 5

LCM of denominators i.e. for 208,9120 is 118560.

Thus, GCF of Fractions is 5/118560.Finally, GCF of Fractions for 1150/208, 7195/9120 is 5/118560.