Greatest Common Factor of 54/624, 820/183, 332/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/624, 820/183, 332/130

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 54/624,820/183,332/130

Given fractions are 54/624,820/183,332/130

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 54,820,332

Greatest Common Factor of Numerators i.e. GCF of 54,820,332 is 2 .

LCM of Denominators means LCM of 624,183,130 as per the given fractions.

LCM of 624,183,130 is 190320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,820,332

GCF of Fractions 54/624,820/183,332/130 is 2/190320

2 54, 820, 332
27, 410, 166

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 54,820,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,820,332 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 54,820,332 . The biggest common factor number is the GCF number.
So the greatest common factor 54,820,332 is 2.

Lets's calculate LCM of 624,183,130

2 624, 183, 130
3 312, 183, 65
13 104, 61, 65
8, 61, 5

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 61 x 5 = 190320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190320

Therefore, the GCF of Fractions 54/624,820/183,332/130 is 2/190320

Least Common Multiple of 624,183,130 with GCF Formula

Least Common Multiple of 624,183,130 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 624,183,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,183,130) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(624,183,130) x common factors =1 x 78 = 78

LCM(624,183,130) = ( 624 × 183 × 130 ) / 78

LCM(624,183,130) = 14844960 / 78

LCM(624,183,130) = 190320


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 54/624, 820/183, 332/130

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 54/624, 820/183, 332/130?

Answer: GCF of Numerators as per given numbers 54/624, 820/183, 332/130 is

GCF of Numerators i.e. for 54,820,332 is 2

LCM of denominators i.e. for 624,183,130 is 190320.

Thus, GCF of Fractions is 2/190320.Finally, GCF of Fractions for 54/624, 820/183, 332/130 is 2/190320.