Greatest Common Factor of 4152/17, 5004/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4152/17, 5004/754

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 4152/17,5004/754

Given fractions are 4152/17,5004/754

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 4152,5004

Greatest Common Factor of Numerators i.e. GCF of 4152,5004 is 12 .

LCM of Denominators means LCM of 17,754 as per the given fractions.

LCM of 17,754 is 12818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4152,5004

GCF of Fractions 4152/17,5004/754 is 12/12818

2 4152, 5004
2 2076, 2502
3 1038, 1251
346, 417

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4152,5004 By Matching Biggest Common Factor Method

Greatest Common Factor of 4152,5004 By Matching Biggest Common Factor Method

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004

Greatest Common Factor

We found the factors 4152,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 4152,5004 is 12.

Lets's calculate LCM of 17,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 12818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12818

Therefore, the GCF of Fractions 4152/17,5004/754 is 12/12818

Least Common Multiple of 17,754 with GCF Formula

Least Common Multiple of 17,754 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 17,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,754) = 1

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

GCF(17,754) x common factors =1 x 1 = 1

LCM(17,754) = ( 17 × 754 ) / 1

LCM(17,754) = 12818 / 1

LCM(17,754) = 12818


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 4152/17, 5004/754

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 4152/17, 5004/754?

Answer: GCF of Numerators as per given numbers 4152/17, 5004/754 is

GCF of Numerators i.e. for 4152,5004 is 12

LCM of denominators i.e. for 17,754 is 12818.

Thus, GCF of Fractions is 12/12818.Finally, GCF of Fractions for 4152/17, 5004/754 is 12/12818.