Greatest Common Factor of 63/824, 8568/1288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/824, 8568/1288

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 63/824,8568/1288

Given fractions are 63/824,8568/1288

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 63,8568

Greatest Common Factor of Numerators i.e. GCF of 63,8568 is 63 .

LCM of Denominators means LCM of 824,1288 as per the given fractions.

LCM of 824,1288 is 132664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,8568

GCF of Fractions 63/824,8568/1288 is 63/132664

3 63, 8568
3 21, 2856
7 7, 952
1, 136

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Greatest Common Factor of 63,8568 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,8568 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 8568

List of positive integer factors of 8568 that divides 8568 without a remainder.

1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568

Greatest Common Factor

We found the factors 63,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 63,8568 is 63.

Lets's calculate LCM of 824,1288

2 824, 1288
2 412, 644
2 206, 322
103, 161

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 161 = 132664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/132664

Therefore, the GCF of Fractions 63/824,8568/1288 is 63/132664

Least Common Multiple of 824,1288 with GCF Formula

Least Common Multiple of 824,1288 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 824,1288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1288) = 8

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

GCF(824,1288) x common factors =8 x 1 = 8

LCM(824,1288) = ( 824 × 1288 ) / 8

LCM(824,1288) = 1061312 / 8

LCM(824,1288) = 132664


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 63/824, 8568/1288

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 63/824, 8568/1288?

Answer: GCF of Numerators as per given numbers 63/824, 8568/1288 is

GCF of Numerators i.e. for 63,8568 is 63

LCM of denominators i.e. for 824,1288 is 132664.

Thus, GCF of Fractions is 63/132664.Finally, GCF of Fractions for 63/824, 8568/1288 is 63/132664.