Greatest Common Factor of 282/11, 630/81, 756/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/11, 630/81, 756/63

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 282/11,630/81,756/63

Given fractions are 282/11,630/81,756/63

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 282,630,756

Greatest Common Factor of Numerators i.e. GCF of 282,630,756 is 6 .

LCM of Denominators means LCM of 11,81,63 as per the given fractions.

LCM of 11,81,63 is 6237 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,630,756

GCF of Fractions 282/11,630/81,756/63 is 6/6237

2 282, 630, 756
3 141, 315, 378
47, 105, 126

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 282,630,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,630,756 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 282,630,756 . The biggest common factor number is the GCF number.
So the greatest common factor 282,630,756 is 6.

Lets's calculate LCM of 11,81,63

3 11, 81, 63
3 11, 27, 21
11, 9, 7

∴ So the LCM of the given numbers is 3 x 3 x 11 x 9 x 7 = 6237

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6237

Therefore, the GCF of Fractions 282/11,630/81,756/63 is 6/6237

Least Common Multiple of 11,81,63 with GCF Formula

Least Common Multiple of 11,81,63 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 11,81,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,81,63) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(11,81,63) x common factors =1 x 9 = 9

LCM(11,81,63) = ( 11 × 81 × 63 ) / 9

LCM(11,81,63) = 56133 / 9

LCM(11,81,63) = 6237


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 282/11, 630/81, 756/63

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 282/11, 630/81, 756/63?

Answer: GCF of Numerators as per given numbers 282/11, 630/81, 756/63 is

GCF of Numerators i.e. for 282,630,756 is 6

LCM of denominators i.e. for 11,81,63 is 6237.

Thus, GCF of Fractions is 6/6237.Finally, GCF of Fractions for 282/11, 630/81, 756/63 is 6/6237.