Greatest Common Factor of 48/29, 12/37, 501/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/29, 12/37, 501/729

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 48/29,12/37,501/729

Given fractions are 48/29,12/37,501/729

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 48,12,501

Greatest Common Factor of Numerators i.e. GCF of 48,12,501 is 3 .

LCM of Denominators means LCM of 29,37,729 as per the given fractions.

LCM of 29,37,729 is 782217 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,12,501

GCF of Fractions 48/29,12/37,501/729 is 3/782217

3 48, 12, 501
16, 4, 167

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

Greatest Common Factor of 48,12,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,12,501 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 48,12,501 . The biggest common factor number is the GCF number.
So the greatest common factor 48,12,501 is 3.

Lets's calculate LCM of 29,37,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 782217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/782217

Therefore, the GCF of Fractions 48/29,12/37,501/729 is 3/782217

Least Common Multiple of 29,37,729 with GCF Formula

Least Common Multiple of 29,37,729 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 29,37,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,37,729) = 1

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

GCF(29,37,729) x common factors =1 x 1 = 1

LCM(29,37,729) = ( 29 × 37 × 729 ) / 1

LCM(29,37,729) = 782217 / 1

LCM(29,37,729) = 782217


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 48/29, 12/37, 501/729

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 48/29, 12/37, 501/729?

Answer: GCF of Numerators as per given numbers 48/29, 12/37, 501/729 is

GCF of Numerators i.e. for 48,12,501 is 3

LCM of denominators i.e. for 29,37,729 is 782217.

Thus, GCF of Fractions is 3/782217.Finally, GCF of Fractions for 48/29, 12/37, 501/729 is 3/782217.