Greatest Common Factor of 7155/56, 1768/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7155/56, 1768/957

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 7155/56,1768/957

Given fractions are 7155/56,1768/957

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 7155,1768

Greatest Common Factor of Numerators i.e. GCF of 7155,1768 is 1 .

LCM of Denominators means LCM of 56,957 as per the given fractions.

LCM of 56,957 is 53592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7155,1768

GCF of Fractions 7155/56,1768/957 is 1/53592

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

Greatest Common Factor of 7155,1768 By Matching Biggest Common Factor Method

Greatest Common Factor of 7155,1768 By Matching Biggest Common Factor Method

Factors of 7155

List of positive integer factors of 7155 that divides 7155 without a remainder.

1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155

Factors of 1768

List of positive integer factors of 1768 that divides 1768 without a remainder.

1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768

Greatest Common Factor

We found the factors 7155,1768 . The biggest common factor number is the GCF number.
So the greatest common factor 7155,1768 is 1.

Lets's calculate LCM of 56,957

Given numbers has no common factors except 1. So, there LCM is their product i.e 53592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53592

Therefore, the GCF of Fractions 7155/56,1768/957 is 1/53592

Least Common Multiple of 56,957 with GCF Formula

Least Common Multiple of 56,957 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 56,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,957) = 1

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

GCF(56,957) x common factors =1 x 1 = 1

LCM(56,957) = ( 56 × 957 ) / 1

LCM(56,957) = 53592 / 1

LCM(56,957) = 53592


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 7155/56, 1768/957

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 7155/56, 1768/957?

Answer: GCF of Numerators as per given numbers 7155/56, 1768/957 is

GCF of Numerators i.e. for 7155,1768 is 1

LCM of denominators i.e. for 56,957 is 53592.

Thus, GCF of Fractions is 1/53592.Finally, GCF of Fractions for 7155/56, 1768/957 is 1/53592.