Greatest Common Factor of 633/29, 591/12, 504/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 633/29, 591/12, 504/632

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 633/29,591/12,504/632

Given fractions are 633/29,591/12,504/632

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 633,591,504

Greatest Common Factor of Numerators i.e. GCF of 633,591,504 is 3 .

LCM of Denominators means LCM of 29,12,632 as per the given fractions.

LCM of 29,12,632 is 54984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 633,591,504

GCF of Fractions 633/29,591/12,504/632 is 3/54984

3 633, 591, 504
211, 197, 168

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

Greatest Common Factor of 633,591,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,591,504 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 633,591,504 . The biggest common factor number is the GCF number.
So the greatest common factor 633,591,504 is 3.

Lets's calculate LCM of 29,12,632

2 29, 12, 632
2 29, 6, 316
29, 3, 158

∴ So the LCM of the given numbers is 2 x 2 x 29 x 3 x 158 = 54984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54984

Therefore, the GCF of Fractions 633/29,591/12,504/632 is 3/54984

Least Common Multiple of 29,12,632 with GCF Formula

Least Common Multiple of 29,12,632 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 29,12,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,12,632) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(29,12,632) x common factors =1 x 4 = 4

LCM(29,12,632) = ( 29 × 12 × 632 ) / 4

LCM(29,12,632) = 219936 / 4

LCM(29,12,632) = 54984


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 633/29, 591/12, 504/632

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 633/29, 591/12, 504/632?

Answer: GCF of Numerators as per given numbers 633/29, 591/12, 504/632 is

GCF of Numerators i.e. for 633,591,504 is 3

LCM of denominators i.e. for 29,12,632 is 54984.

Thus, GCF of Fractions is 3/54984.Finally, GCF of Fractions for 633/29, 591/12, 504/632 is 3/54984.