Greatest Common Factor of 760/63, 323/6842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/63, 323/6842

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 760/63,323/6842

Given fractions are 760/63,323/6842

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 760,323

Greatest Common Factor of Numerators i.e. GCF of 760,323 is 19 .

LCM of Denominators means LCM of 63,6842 as per the given fractions.

LCM of 63,6842 is 431046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,323

GCF of Fractions 760/63,323/6842 is 19/431046

19 760, 323
40, 17

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 760,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,323 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 323

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

1,17,19,323

Greatest Common Factor

We found the factors 760,323 . The biggest common factor number is the GCF number.
So the greatest common factor 760,323 is 19.

Lets's calculate LCM of 63,6842

Given numbers has no common factors except 1. So, there LCM is their product i.e 431046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/431046

Therefore, the GCF of Fractions 760/63,323/6842 is 19/431046

Least Common Multiple of 63,6842 with GCF Formula

Least Common Multiple of 63,6842 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 63,6842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,6842) = 1

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

GCF(63,6842) x common factors =1 x 1 = 1

LCM(63,6842) = ( 63 × 6842 ) / 1

LCM(63,6842) = 431046 / 1

LCM(63,6842) = 431046


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 760/63, 323/6842

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 760/63, 323/6842?

Answer: GCF of Numerators as per given numbers 760/63, 323/6842 is

GCF of Numerators i.e. for 760,323 is 19

LCM of denominators i.e. for 63,6842 is 431046.

Thus, GCF of Fractions is 19/431046.Finally, GCF of Fractions for 760/63, 323/6842 is 19/431046.