Greatest Common Factor of 478/20, 8164/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/20, 8164/709

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 478/20,8164/709

Given fractions are 478/20,8164/709

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 478,8164

Greatest Common Factor of Numerators i.e. GCF of 478,8164 is 2 .

LCM of Denominators means LCM of 20,709 as per the given fractions.

LCM of 20,709 is 14180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,8164

GCF of Fractions 478/20,8164/709 is 2/14180

2 478, 8164
239, 4082

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 478,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,8164 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors 478,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 478,8164 is 2.

Lets's calculate LCM of 20,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 14180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14180

Therefore, the GCF of Fractions 478/20,8164/709 is 2/14180

Least Common Multiple of 20,709 with GCF Formula

Least Common Multiple of 20,709 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 20,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,709) = 1

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

GCF(20,709) x common factors =1 x 1 = 1

LCM(20,709) = ( 20 × 709 ) / 1

LCM(20,709) = 14180 / 1

LCM(20,709) = 14180


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 478/20, 8164/709

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 478/20, 8164/709?

Answer: GCF of Numerators as per given numbers 478/20, 8164/709 is

GCF of Numerators i.e. for 478,8164 is 2

LCM of denominators i.e. for 20,709 is 14180.

Thus, GCF of Fractions is 2/14180.Finally, GCF of Fractions for 478/20, 8164/709 is 2/14180.