Greatest Common Factor of 6746/575, 8123/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6746/575, 8123/953

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 6746/575,8123/953

Given fractions are 6746/575,8123/953

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 6746,8123

Greatest Common Factor of Numerators i.e. GCF of 6746,8123 is 1 .

LCM of Denominators means LCM of 575,953 as per the given fractions.

LCM of 575,953 is 547975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6746,8123

GCF of Fractions 6746/575,8123/953 is 1/547975

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

Greatest Common Factor of 6746,8123 By Matching Biggest Common Factor Method

Greatest Common Factor of 6746,8123 By Matching Biggest Common Factor Method

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1,2,3373,6746

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Greatest Common Factor

We found the factors 6746,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 6746,8123 is 1.

Lets's calculate LCM of 575,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 547975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/547975

Therefore, the GCF of Fractions 6746/575,8123/953 is 1/547975

Least Common Multiple of 575,953 with GCF Formula

Least Common Multiple of 575,953 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 575,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,953) = 1

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

GCF(575,953) x common factors =1 x 1 = 1

LCM(575,953) = ( 575 × 953 ) / 1

LCM(575,953) = 547975 / 1

LCM(575,953) = 547975


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 6746/575, 8123/953

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 6746/575, 8123/953?

Answer: GCF of Numerators as per given numbers 6746/575, 8123/953 is

GCF of Numerators i.e. for 6746,8123 is 1

LCM of denominators i.e. for 575,953 is 547975.

Thus, GCF of Fractions is 1/547975.Finally, GCF of Fractions for 6746/575, 8123/953 is 1/547975.