Greatest Common Factor of 227/12, 973/98, 796/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 227/12, 973/98, 796/70

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 227/12,973/98,796/70

Given fractions are 227/12,973/98,796/70

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 227,973,796

Greatest Common Factor of Numerators i.e. GCF of 227,973,796 is 1 .

LCM of Denominators means LCM of 12,98,70 as per the given fractions.

LCM of 12,98,70 is 2940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 227,973,796

GCF of Fractions 227/12,973/98,796/70 is 1/2940

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

Greatest Common Factor of 227,973,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,973,796 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 227,973,796 . The biggest common factor number is the GCF number.
So the greatest common factor 227,973,796 is 1.

Lets's calculate LCM of 12,98,70

2 12, 98, 70
7 6, 49, 35
6, 7, 5

∴ So the LCM of the given numbers is 2 x 7 x 6 x 7 x 5 = 2940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2940

Therefore, the GCF of Fractions 227/12,973/98,796/70 is 1/2940

Least Common Multiple of 12,98,70 with GCF Formula

Least Common Multiple of 12,98,70 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 12,98,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,98,70) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(12,98,70) x common factors =2 x 14 = 28

LCM(12,98,70) = ( 12 × 98 × 70 ) / 28

LCM(12,98,70) = 82320 / 28

LCM(12,98,70) = 2940


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 227/12, 973/98, 796/70

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 227/12, 973/98, 796/70?

Answer: GCF of Numerators as per given numbers 227/12, 973/98, 796/70 is

GCF of Numerators i.e. for 227,973,796 is 1

LCM of denominators i.e. for 12,98,70 is 2940.

Thus, GCF of Fractions is 1/2940.Finally, GCF of Fractions for 227/12, 973/98, 796/70 is 1/2940.