Greatest Common Factor of 8575/756, 7223/6515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8575/756, 7223/6515

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 8575/756,7223/6515

Given fractions are 8575/756,7223/6515

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 8575,7223

Greatest Common Factor of Numerators i.e. GCF of 8575,7223 is 1 .

LCM of Denominators means LCM of 756,6515 as per the given fractions.

LCM of 756,6515 is 4925340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8575,7223

GCF of Fractions 8575/756,7223/6515 is 1/4925340

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

Greatest Common Factor of 8575,7223 By Matching Biggest Common Factor Method

Greatest Common Factor of 8575,7223 By Matching Biggest Common Factor Method

Factors of 8575

List of positive integer factors of 8575 that divides 8575 without a remainder.

1,5,7,25,35,49,175,245,343,1225,1715,8575

Factors of 7223

List of positive integer factors of 7223 that divides 7223 without a remainder.

1,31,233,7223

Greatest Common Factor

We found the factors 8575,7223 . The biggest common factor number is the GCF number.
So the greatest common factor 8575,7223 is 1.

Lets's calculate LCM of 756,6515

Given numbers has no common factors except 1. So, there LCM is their product i.e 4925340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4925340

Therefore, the GCF of Fractions 8575/756,7223/6515 is 1/4925340

Least Common Multiple of 756,6515 with GCF Formula

Least Common Multiple of 756,6515 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 756,6515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,6515) = 1

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

GCF(756,6515) x common factors =1 x 1 = 1

LCM(756,6515) = ( 756 × 6515 ) / 1

LCM(756,6515) = 4925340 / 1

LCM(756,6515) = 4925340


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 8575/756, 7223/6515

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 8575/756, 7223/6515?

Answer: GCF of Numerators as per given numbers 8575/756, 7223/6515 is

GCF of Numerators i.e. for 8575,7223 is 1

LCM of denominators i.e. for 756,6515 is 4925340.

Thus, GCF of Fractions is 1/4925340.Finally, GCF of Fractions for 8575/756, 7223/6515 is 1/4925340.