Greatest Common Factor of 323/42, 762/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/42, 762/646

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 323/42,762/646

Given fractions are 323/42,762/646

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 323,762

Greatest Common Factor of Numerators i.e. GCF of 323,762 is 1 .

LCM of Denominators means LCM of 42,646 as per the given fractions.

LCM of 42,646 is 13566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,762

GCF of Fractions 323/42,762/646 is 1/13566

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

Greatest Common Factor of 323,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,762 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 323,762 . The biggest common factor number is the GCF number.
So the greatest common factor 323,762 is 1.

Lets's calculate LCM of 42,646

2 42, 646
21, 323

∴ So the LCM of the given numbers is 2 x 21 x 323 = 13566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13566

Therefore, the GCF of Fractions 323/42,762/646 is 1/13566

Least Common Multiple of 42,646 with GCF Formula

Least Common Multiple of 42,646 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 42,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,646) = 2

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

GCF(42,646) x common factors =2 x 1 = 2

LCM(42,646) = ( 42 × 646 ) / 2

LCM(42,646) = 27132 / 2

LCM(42,646) = 13566


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 323/42, 762/646

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 323/42, 762/646?

Answer: GCF of Numerators as per given numbers 323/42, 762/646 is

GCF of Numerators i.e. for 323,762 is 1

LCM of denominators i.e. for 42,646 is 13566.

Thus, GCF of Fractions is 1/13566.Finally, GCF of Fractions for 323/42, 762/646 is 1/13566.