Greatest Common Factor of 7643/478, 1967/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7643/478, 1967/706

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 7643/478,1967/706

Given fractions are 7643/478,1967/706

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 7643,1967

Greatest Common Factor of Numerators i.e. GCF of 7643,1967 is 1 .

LCM of Denominators means LCM of 478,706 as per the given fractions.

LCM of 478,706 is 168734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7643,1967

GCF of Fractions 7643/478,1967/706 is 1/168734

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

Greatest Common Factor of 7643,1967 By Matching Biggest Common Factor Method

Greatest Common Factor of 7643,1967 By Matching Biggest Common Factor Method

Factors of 7643

List of positive integer factors of 7643 that divides 7643 without a remainder.

1,7643

Factors of 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1,7,281,1967

Greatest Common Factor

We found the factors 7643,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 7643,1967 is 1.


Lets's calculate LCM of 478,706

2 478, 706
239, 353

∴ So the LCM of the given numbers is 2 x 239 x 353 = 168734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168734

Therefore, the GCF of Fractions 7643/478,1967/706 is 1/168734

Least Common Multiple of 478,706 with GCF Formula

Least Common Multiple of 478,706 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 478,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,706) = 2

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

GCF(478,706) x common factors =2 x 1 = 2

LCM(478,706) = ( 478 × 706 ) / 2

LCM(478,706) = 337468 / 2

LCM(478,706) = 168734


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7643/478, 1967/706

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 7643/478, 1967/706?

Answer: GCF of Numerators as per given numbers 7643/478, 1967/706 is

GCF of Numerators i.e. for 7643,1967 is 1

LCM of denominators i.e. for 478,706 is 168734.

Thus, GCF of Fractions is 1/168734.Finally, GCF of Fractions for 7643/478, 1967/706 is 1/168734.