Greatest Common Factor of 675/646, 9638/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/646, 9638/503

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 675/646,9638/503

Given fractions are 675/646,9638/503

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 675,9638

Greatest Common Factor of Numerators i.e. GCF of 675,9638 is 1 .

LCM of Denominators means LCM of 646,503 as per the given fractions.

LCM of 646,503 is 324938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,9638

GCF of Fractions 675/646,9638/503 is 1/324938

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

Greatest Common Factor of 675,9638 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,9638 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1,2,61,79,122,158,4819,9638

Greatest Common Factor

We found the factors 675,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 675,9638 is 1.

Lets's calculate LCM of 646,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 324938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324938

Therefore, the GCF of Fractions 675/646,9638/503 is 1/324938

Least Common Multiple of 646,503 with GCF Formula

Least Common Multiple of 646,503 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 646,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,503) = 1

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

GCF(646,503) x common factors =1 x 1 = 1

LCM(646,503) = ( 646 × 503 ) / 1

LCM(646,503) = 324938 / 1

LCM(646,503) = 324938


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 675/646, 9638/503

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 675/646, 9638/503?

Answer: GCF of Numerators as per given numbers 675/646, 9638/503 is

GCF of Numerators i.e. for 675,9638 is 1

LCM of denominators i.e. for 646,503 is 324938.

Thus, GCF of Fractions is 1/324938.Finally, GCF of Fractions for 675/646, 9638/503 is 1/324938.