Greatest Common Factor of 637/384, 546/300, 506/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 637/384, 546/300, 506/384

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 637/384,546/300,506/384

Given fractions are 637/384,546/300,506/384

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 637,546,506

Greatest Common Factor of Numerators i.e. GCF of 637,546,506 is 1 .

LCM of Denominators means LCM of 384,300,384 as per the given fractions.

LCM of 384,300,384 is 9600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 637,546,506

GCF of Fractions 637/384,546/300,506/384 is 1/9600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 637,546,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,546,506 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 637,546,506 . The biggest common factor number is the GCF number.
So the greatest common factor 637,546,506 is 1.

Lets's calculate LCM of 384,300,384

2 384, 300, 384
2 192, 150, 192
2 96, 75, 96
2 48, 75, 48
2 24, 75, 24
2 12, 75, 12
2 6, 75, 6
3 3, 75, 3
1, 25, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 25 x 1 = 9600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9600

Therefore, the GCF of Fractions 637/384,546/300,506/384 is 1/9600

Least Common Multiple of 384,300,384 with GCF Formula

Least Common Multiple of 384,300,384 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 384,300,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,300,384) = 12

common factors(in case of two or more numbers have common factors) = 384

GCF(384,300,384) x common factors =12 x 384 = 4608

LCM(384,300,384) = ( 384 × 300 × 384 ) / 4608

LCM(384,300,384) = 44236800 / 4608

LCM(384,300,384) = 9600


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 637/384, 546/300, 506/384

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 637/384, 546/300, 506/384?

Answer: GCF of Numerators as per given numbers 637/384, 546/300, 506/384 is

GCF of Numerators i.e. for 637,546,506 is 1

LCM of denominators i.e. for 384,300,384 is 9600.

Thus, GCF of Fractions is 1/9600.Finally, GCF of Fractions for 637/384, 546/300, 506/384 is 1/9600.