Greatest Common Factor of 209/47, 478/56, 715/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 209/47, 478/56, 715/101

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 209/47,478/56,715/101

Given fractions are 209/47,478/56,715/101

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 209,478,715

Greatest Common Factor of Numerators i.e. GCF of 209,478,715 is 1 .

LCM of Denominators means LCM of 47,56,101 as per the given fractions.

LCM of 47,56,101 is 265832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 209,478,715

GCF of Fractions 209/47,478/56,715/101 is 1/265832

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

Greatest Common Factor of 209,478,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,478,715 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 478

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

1,2,239,478

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 209,478,715 . The biggest common factor number is the GCF number.
So the greatest common factor 209,478,715 is 1.

Lets's calculate LCM of 47,56,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 265832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265832

Therefore, the GCF of Fractions 209/47,478/56,715/101 is 1/265832

Least Common Multiple of 47,56,101 with GCF Formula

Least Common Multiple of 47,56,101 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 47,56,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,56,101) = 1

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

GCF(47,56,101) x common factors =1 x 1 = 1

LCM(47,56,101) = ( 47 × 56 × 101 ) / 1

LCM(47,56,101) = 265832 / 1

LCM(47,56,101) = 265832


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 209/47, 478/56, 715/101

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 209/47, 478/56, 715/101?

Answer: GCF of Numerators as per given numbers 209/47, 478/56, 715/101 is

GCF of Numerators i.e. for 209,478,715 is 1

LCM of denominators i.e. for 47,56,101 is 265832.

Thus, GCF of Fractions is 1/265832.Finally, GCF of Fractions for 209/47, 478/56, 715/101 is 1/265832.