Greatest Common Factor of 63/407, 519/691, 864/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/407, 519/691, 864/112

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 63/407,519/691,864/112

Given fractions are 63/407,519/691,864/112

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 63,519,864

Greatest Common Factor of Numerators i.e. GCF of 63,519,864 is 3 .

LCM of Denominators means LCM of 407,691,112 as per the given fractions.

LCM of 407,691,112 is 31498544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,519,864

GCF of Fractions 63/407,519/691,864/112 is 3/31498544

3 63, 519, 864
21, 173, 288

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 63,519,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,519,864 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 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 63,519,864 . The biggest common factor number is the GCF number.
So the greatest common factor 63,519,864 is 3.

Lets's calculate LCM of 407,691,112

Given numbers has no common factors except 1. So, there LCM is their product i.e 31498544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31498544

Therefore, the GCF of Fractions 63/407,519/691,864/112 is 3/31498544

Least Common Multiple of 407,691,112 with GCF Formula

Least Common Multiple of 407,691,112 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 407,691,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,691,112) = 1

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

GCF(407,691,112) x common factors =1 x 1 = 1

LCM(407,691,112) = ( 407 × 691 × 112 ) / 1

LCM(407,691,112) = 31498544 / 1

LCM(407,691,112) = 31498544


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 63/407, 519/691, 864/112

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 63/407, 519/691, 864/112?

Answer: GCF of Numerators as per given numbers 63/407, 519/691, 864/112 is

GCF of Numerators i.e. for 63,519,864 is 3

LCM of denominators i.e. for 407,691,112 is 31498544.

Thus, GCF of Fractions is 3/31498544.Finally, GCF of Fractions for 63/407, 519/691, 864/112 is 3/31498544.