Greatest Common Factor of 475/267, 7582/9002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/267, 7582/9002

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 475/267,7582/9002

Given fractions are 475/267,7582/9002

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 475,7582

Greatest Common Factor of Numerators i.e. GCF of 475,7582 is 1 .

LCM of Denominators means LCM of 267,9002 as per the given fractions.

LCM of 267,9002 is 2403534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,7582

GCF of Fractions 475/267,7582/9002 is 1/2403534

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

Greatest Common Factor of 475,7582 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,7582 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1,2,17,34,223,446,3791,7582

Greatest Common Factor

We found the factors 475,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 475,7582 is 1.

Lets's calculate LCM of 267,9002

Given numbers has no common factors except 1. So, there LCM is their product i.e 2403534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2403534

Therefore, the GCF of Fractions 475/267,7582/9002 is 1/2403534

Least Common Multiple of 267,9002 with GCF Formula

Least Common Multiple of 267,9002 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 267,9002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,9002) = 1

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

GCF(267,9002) x common factors =1 x 1 = 1

LCM(267,9002) = ( 267 × 9002 ) / 1

LCM(267,9002) = 2403534 / 1

LCM(267,9002) = 2403534


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 475/267, 7582/9002

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 475/267, 7582/9002?

Answer: GCF of Numerators as per given numbers 475/267, 7582/9002 is

GCF of Numerators i.e. for 475,7582 is 1

LCM of denominators i.e. for 267,9002 is 2403534.

Thus, GCF of Fractions is 1/2403534.Finally, GCF of Fractions for 475/267, 7582/9002 is 1/2403534.