Greatest Common Factor of 472/220, 703/286, 368/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/220, 703/286, 368/135

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 472/220,703/286,368/135

Given fractions are 472/220,703/286,368/135

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 472,703,368

Greatest Common Factor of Numerators i.e. GCF of 472,703,368 is 1 .

LCM of Denominators means LCM of 220,286,135 as per the given fractions.

LCM of 220,286,135 is 77220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,703,368

GCF of Fractions 472/220,703/286,368/135 is 1/77220

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

Greatest Common Factor of 472,703,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,703,368 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 472,703,368 . The biggest common factor number is the GCF number.
So the greatest common factor 472,703,368 is 1.

Lets's calculate LCM of 220,286,135

2 220, 286, 135
5 110, 143, 135
11 22, 143, 27
2, 13, 27

∴ So the LCM of the given numbers is 2 x 5 x 11 x 2 x 13 x 27 = 77220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77220

Therefore, the GCF of Fractions 472/220,703/286,368/135 is 1/77220

Least Common Multiple of 220,286,135 with GCF Formula

Least Common Multiple of 220,286,135 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 220,286,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,286,135) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(220,286,135) x common factors =1 x 110 = 110

LCM(220,286,135) = ( 220 × 286 × 135 ) / 110

LCM(220,286,135) = 8494200 / 110

LCM(220,286,135) = 77220


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 472/220, 703/286, 368/135

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 472/220, 703/286, 368/135?

Answer: GCF of Numerators as per given numbers 472/220, 703/286, 368/135 is

GCF of Numerators i.e. for 472,703,368 is 1

LCM of denominators i.e. for 220,286,135 is 77220.

Thus, GCF of Fractions is 1/77220.Finally, GCF of Fractions for 472/220, 703/286, 368/135 is 1/77220.