Greatest Common Factor of 3004/137, 9148/5514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3004/137, 9148/5514

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 3004/137,9148/5514

Given fractions are 3004/137,9148/5514

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 3004,9148

Greatest Common Factor of Numerators i.e. GCF of 3004,9148 is 4 .

LCM of Denominators means LCM of 137,5514 as per the given fractions.

LCM of 137,5514 is 755418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3004,9148

GCF of Fractions 3004/137,9148/5514 is 4/755418

2 3004, 9148
2 1502, 4574
751, 2287

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3004,9148 By Matching Biggest Common Factor Method

Greatest Common Factor of 3004,9148 By Matching Biggest Common Factor Method

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1,2,4,751,1502,3004

Factors of 9148

List of positive integer factors of 9148 that divides 9148 without a remainder.

1,2,4,2287,4574,9148

Greatest Common Factor

We found the factors 3004,9148 . The biggest common factor number is the GCF number.
So the greatest common factor 3004,9148 is 4.

Lets's calculate LCM of 137,5514

Given numbers has no common factors except 1. So, there LCM is their product i.e 755418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/755418

Therefore, the GCF of Fractions 3004/137,9148/5514 is 4/755418

Least Common Multiple of 137,5514 with GCF Formula

Least Common Multiple of 137,5514 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 137,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,5514) = 1

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

GCF(137,5514) x common factors =1 x 1 = 1

LCM(137,5514) = ( 137 × 5514 ) / 1

LCM(137,5514) = 755418 / 1

LCM(137,5514) = 755418


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 3004/137, 9148/5514

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 3004/137, 9148/5514?

Answer: GCF of Numerators as per given numbers 3004/137, 9148/5514 is

GCF of Numerators i.e. for 3004,9148 is 4

LCM of denominators i.e. for 137,5514 is 755418.

Thus, GCF of Fractions is 4/755418.Finally, GCF of Fractions for 3004/137, 9148/5514 is 4/755418.