Greatest Common Factor of 5685/756, 9090/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5685/756, 9090/155

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 5685/756,9090/155

Given fractions are 5685/756,9090/155

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 5685,9090

Greatest Common Factor of Numerators i.e. GCF of 5685,9090 is 15 .

LCM of Denominators means LCM of 756,155 as per the given fractions.

LCM of 756,155 is 117180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5685,9090

GCF of Fractions 5685/756,9090/155 is 15/117180

3 5685, 9090
5 1895, 3030
379, 606

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 5685,9090 By Matching Biggest Common Factor Method

Greatest Common Factor of 5685,9090 By Matching Biggest Common Factor Method

Factors of 5685

List of positive integer factors of 5685 that divides 5685 without a remainder.

1,3,5,15,379,1137,1895,5685

Factors of 9090

List of positive integer factors of 9090 that divides 9090 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090

Greatest Common Factor

We found the factors 5685,9090 . The biggest common factor number is the GCF number.
So the greatest common factor 5685,9090 is 15.

Lets's calculate LCM of 756,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 117180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/117180

Therefore, the GCF of Fractions 5685/756,9090/155 is 15/117180

Least Common Multiple of 756,155 with GCF Formula

Least Common Multiple of 756,155 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 756,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,155) = 1

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

GCF(756,155) x common factors =1 x 1 = 1

LCM(756,155) = ( 756 × 155 ) / 1

LCM(756,155) = 117180 / 1

LCM(756,155) = 117180


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 5685/756, 9090/155

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 5685/756, 9090/155?

Answer: GCF of Numerators as per given numbers 5685/756, 9090/155 is

GCF of Numerators i.e. for 5685,9090 is 15

LCM of denominators i.e. for 756,155 is 117180.

Thus, GCF of Fractions is 15/117180.Finally, GCF of Fractions for 5685/756, 9090/155 is 15/117180.