Greatest Common Factor of 5130/29, 3462/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5130/29, 3462/152

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 5130/29,3462/152

Given fractions are 5130/29,3462/152

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 5130,3462

Greatest Common Factor of Numerators i.e. GCF of 5130,3462 is 6 .

LCM of Denominators means LCM of 29,152 as per the given fractions.

LCM of 29,152 is 4408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5130,3462

GCF of Fractions 5130/29,3462/152 is 6/4408

2 5130, 3462
3 2565, 1731
855, 577

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5130,3462 By Matching Biggest Common Factor Method

Greatest Common Factor of 5130,3462 By Matching Biggest Common Factor Method

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Greatest Common Factor

We found the factors 5130,3462 . The biggest common factor number is the GCF number.
So the greatest common factor 5130,3462 is 6.

Lets's calculate LCM of 29,152

Given numbers has no common factors except 1. So, there LCM is their product i.e 4408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4408

Therefore, the GCF of Fractions 5130/29,3462/152 is 6/4408

Least Common Multiple of 29,152 with GCF Formula

Least Common Multiple of 29,152 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 29,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,152) = 1

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

GCF(29,152) x common factors =1 x 1 = 1

LCM(29,152) = ( 29 × 152 ) / 1

LCM(29,152) = 4408 / 1

LCM(29,152) = 4408


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 5130/29, 3462/152

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 5130/29, 3462/152?

Answer: GCF of Numerators as per given numbers 5130/29, 3462/152 is

GCF of Numerators i.e. for 5130,3462 is 6

LCM of denominators i.e. for 29,152 is 4408.

Thus, GCF of Fractions is 6/4408.Finally, GCF of Fractions for 5130/29, 3462/152 is 6/4408.