Greatest Common Factor of 786/570, 7313/1425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/570, 7313/1425

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 786/570,7313/1425

Given fractions are 786/570,7313/1425

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 786,7313

Greatest Common Factor of Numerators i.e. GCF of 786,7313 is 1 .

LCM of Denominators means LCM of 570,1425 as per the given fractions.

LCM of 570,1425 is 2850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,7313

GCF of Fractions 786/570,7313/1425 is 1/2850

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

Greatest Common Factor of 786,7313 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,7313 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Greatest Common Factor

We found the factors 786,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 786,7313 is 1.

Lets's calculate LCM of 570,1425

3 570, 1425
5 190, 475
19 38, 95
2, 5

∴ So the LCM of the given numbers is 3 x 5 x 19 x 2 x 5 = 2850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2850

Therefore, the GCF of Fractions 786/570,7313/1425 is 1/2850

Least Common Multiple of 570,1425 with GCF Formula

Least Common Multiple of 570,1425 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 570,1425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,1425) = 285

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

GCF(570,1425) x common factors =285 x 1 = 285

LCM(570,1425) = ( 570 × 1425 ) / 285

LCM(570,1425) = 812250 / 285

LCM(570,1425) = 2850


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 786/570, 7313/1425

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 786/570, 7313/1425?

Answer: GCF of Numerators as per given numbers 786/570, 7313/1425 is

GCF of Numerators i.e. for 786,7313 is 1

LCM of denominators i.e. for 570,1425 is 2850.

Thus, GCF of Fractions is 1/2850.Finally, GCF of Fractions for 786/570, 7313/1425 is 1/2850.