Greatest Common Factor of 5735/695, 8215/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5735/695, 8215/557

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 5735/695,8215/557

Given fractions are 5735/695,8215/557

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 5735,8215

Greatest Common Factor of Numerators i.e. GCF of 5735,8215 is 155 .

LCM of Denominators means LCM of 695,557 as per the given fractions.

LCM of 695,557 is 387115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5735,8215

GCF of Fractions 5735/695,8215/557 is 155/387115

5 5735, 8215
31 1147, 1643
37, 53

∴ So the GCF of the given numbers is 5 x 31 = 155

Greatest Common Factor of 5735,8215 By Matching Biggest Common Factor Method

Greatest Common Factor of 5735,8215 By Matching Biggest Common Factor Method

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1,5,31,53,155,265,1643,8215

Greatest Common Factor

We found the factors 5735,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 5735,8215 is 155.

Lets's calculate LCM of 695,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 387115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 155/387115

Therefore, the GCF of Fractions 5735/695,8215/557 is 155/387115

Least Common Multiple of 695,557 with GCF Formula

Least Common Multiple of 695,557 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 695,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,557) = 1

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

GCF(695,557) x common factors =1 x 1 = 1

LCM(695,557) = ( 695 × 557 ) / 1

LCM(695,557) = 387115 / 1

LCM(695,557) = 387115


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 5735/695, 8215/557

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 5735/695, 8215/557?

Answer: GCF of Numerators as per given numbers 5735/695, 8215/557 is

GCF of Numerators i.e. for 5735,8215 is 155

LCM of denominators i.e. for 695,557 is 387115.

Thus, GCF of Fractions is 155/387115.Finally, GCF of Fractions for 5735/695, 8215/557 is 155/387115.