Greatest Common Factor of 555/358, 3020/1212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 555/358, 3020/1212

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 555/358,3020/1212

Given fractions are 555/358,3020/1212

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 555,3020

Greatest Common Factor of Numerators i.e. GCF of 555,3020 is 5 .

LCM of Denominators means LCM of 358,1212 as per the given fractions.

LCM of 358,1212 is 216948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 555,3020

GCF of Fractions 555/358,3020/1212 is 5/216948

5 555, 3020
111, 604

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 555,3020 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,3020 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

Greatest Common Factor

We found the factors 555,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 555,3020 is 5.

Lets's calculate LCM of 358,1212

2 358, 1212
179, 606

∴ So the LCM of the given numbers is 2 x 179 x 606 = 216948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/216948

Therefore, the GCF of Fractions 555/358,3020/1212 is 5/216948

Least Common Multiple of 358,1212 with GCF Formula

Least Common Multiple of 358,1212 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 358,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,1212) = 2

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

GCF(358,1212) x common factors =2 x 1 = 2

LCM(358,1212) = ( 358 × 1212 ) / 2

LCM(358,1212) = 433896 / 2

LCM(358,1212) = 216948


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 555/358, 3020/1212

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 555/358, 3020/1212?

Answer: GCF of Numerators as per given numbers 555/358, 3020/1212 is

GCF of Numerators i.e. for 555,3020 is 5

LCM of denominators i.e. for 358,1212 is 216948.

Thus, GCF of Fractions is 5/216948.Finally, GCF of Fractions for 555/358, 3020/1212 is 5/216948.