Greatest Common Factor of 12/820, 551/646, 315/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/820, 551/646, 315/900

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 12/820,551/646,315/900

Given fractions are 12/820,551/646,315/900

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 12,551,315

Greatest Common Factor of Numerators i.e. GCF of 12,551,315 is 1 .

LCM of Denominators means LCM of 820,646,900 as per the given fractions.

LCM of 820,646,900 is 11918700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,551,315

GCF of Fractions 12/820,551/646,315/900 is 1/11918700

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

Greatest Common Factor of 12,551,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,551,315 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 12,551,315 . The biggest common factor number is the GCF number.
So the greatest common factor 12,551,315 is 1.

Lets's calculate LCM of 820,646,900

2 820, 646, 900
2 410, 323, 450
5 205, 323, 225
41, 323, 45

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 323 x 45 = 11918700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11918700

Therefore, the GCF of Fractions 12/820,551/646,315/900 is 1/11918700

Least Common Multiple of 820,646,900 with GCF Formula

Least Common Multiple of 820,646,900 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 820,646,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,646,900) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(820,646,900) x common factors =2 x 20 = 40

LCM(820,646,900) = ( 820 × 646 × 900 ) / 40

LCM(820,646,900) = 476748000 / 40

LCM(820,646,900) = 11918700


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 12/820, 551/646, 315/900

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 12/820, 551/646, 315/900?

Answer: GCF of Numerators as per given numbers 12/820, 551/646, 315/900 is

GCF of Numerators i.e. for 12,551,315 is 1

LCM of denominators i.e. for 820,646,900 is 11918700.

Thus, GCF of Fractions is 1/11918700.Finally, GCF of Fractions for 12/820, 551/646, 315/900 is 1/11918700.