Greatest Common Factor of 348/113, 790/372, 504/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/113, 790/372, 504/231

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 348/113,790/372,504/231

Given fractions are 348/113,790/372,504/231

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 348,790,504

Greatest Common Factor of Numerators i.e. GCF of 348,790,504 is 2 .

LCM of Denominators means LCM of 113,372,231 as per the given fractions.

LCM of 113,372,231 is 3236772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,790,504

GCF of Fractions 348/113,790/372,504/231 is 2/3236772

2 348, 790, 504
174, 395, 252

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

Greatest Common Factor of 348,790,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,790,504 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 348,790,504 . The biggest common factor number is the GCF number.
So the greatest common factor 348,790,504 is 2.

Lets's calculate LCM of 113,372,231

3 113, 372, 231
113, 124, 77

∴ So the LCM of the given numbers is 3 x 113 x 124 x 77 = 3236772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3236772

Therefore, the GCF of Fractions 348/113,790/372,504/231 is 2/3236772

Least Common Multiple of 113,372,231 with GCF Formula

Least Common Multiple of 113,372,231 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 113,372,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,372,231) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(113,372,231) x common factors =1 x 3 = 3

LCM(113,372,231) = ( 113 × 372 × 231 ) / 3

LCM(113,372,231) = 9710316 / 3

LCM(113,372,231) = 3236772


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 348/113, 790/372, 504/231

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 348/113, 790/372, 504/231?

Answer: GCF of Numerators as per given numbers 348/113, 790/372, 504/231 is

GCF of Numerators i.e. for 348,790,504 is 2

LCM of denominators i.e. for 113,372,231 is 3236772.

Thus, GCF of Fractions is 2/3236772.Finally, GCF of Fractions for 348/113, 790/372, 504/231 is 2/3236772.