Greatest Common Factor of 575/10, 6500/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 575/10, 6500/369

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 575/10,6500/369

Given fractions are 575/10,6500/369

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 575,6500

Greatest Common Factor of Numerators i.e. GCF of 575,6500 is 25 .

LCM of Denominators means LCM of 10,369 as per the given fractions.

LCM of 10,369 is 3690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 575,6500

GCF of Fractions 575/10,6500/369 is 25/3690

5 575, 6500
5 115, 1300
23, 260

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 575,6500 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,6500 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Greatest Common Factor

We found the factors 575,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 575,6500 is 25.

Lets's calculate LCM of 10,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 3690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3690

Therefore, the GCF of Fractions 575/10,6500/369 is 25/3690

Least Common Multiple of 10,369 with GCF Formula

Least Common Multiple of 10,369 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 10,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,369) = 1

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

GCF(10,369) x common factors =1 x 1 = 1

LCM(10,369) = ( 10 × 369 ) / 1

LCM(10,369) = 3690 / 1

LCM(10,369) = 3690


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 575/10, 6500/369

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 575/10, 6500/369?

Answer: GCF of Numerators as per given numbers 575/10, 6500/369 is

GCF of Numerators i.e. for 575,6500 is 25

LCM of denominators i.e. for 10,369 is 3690.

Thus, GCF of Fractions is 25/3690.Finally, GCF of Fractions for 575/10, 6500/369 is 25/3690.