Greatest Common Factor of 595/45, 6350/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 595/45, 6350/715

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 595/45,6350/715

Given fractions are 595/45,6350/715

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 595,6350

Greatest Common Factor of Numerators i.e. GCF of 595,6350 is 5 .

LCM of Denominators means LCM of 45,715 as per the given fractions.

LCM of 45,715 is 6435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 595,6350

GCF of Fractions 595/45,6350/715 is 5/6435

5 595, 6350
119, 1270

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

Greatest Common Factor of 595,6350 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,6350 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1,2,5,10,25,50,127,254,635,1270,3175,6350

Greatest Common Factor

We found the factors 595,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 595,6350 is 5.

Lets's calculate LCM of 45,715

5 45, 715
9, 143

∴ So the LCM of the given numbers is 5 x 9 x 143 = 6435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6435

Therefore, the GCF of Fractions 595/45,6350/715 is 5/6435

Least Common Multiple of 45,715 with GCF Formula

Least Common Multiple of 45,715 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 45,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,715) = 5

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

GCF(45,715) x common factors =5 x 1 = 5

LCM(45,715) = ( 45 × 715 ) / 5

LCM(45,715) = 32175 / 5

LCM(45,715) = 6435


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 595/45, 6350/715

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 595/45, 6350/715?

Answer: GCF of Numerators as per given numbers 595/45, 6350/715 is

GCF of Numerators i.e. for 595,6350 is 5

LCM of denominators i.e. for 45,715 is 6435.

Thus, GCF of Fractions is 5/6435.Finally, GCF of Fractions for 595/45, 6350/715 is 5/6435.