Greatest Common Factor of 43/125, 52/250, 368/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/125, 52/250, 368/596

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 43/125,52/250,368/596

Given fractions are 43/125,52/250,368/596

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 43,52,368

Greatest Common Factor of Numerators i.e. GCF of 43,52,368 is 1 .

LCM of Denominators means LCM of 125,250,596 as per the given fractions.

LCM of 125,250,596 is 74500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,52,368

GCF of Fractions 43/125,52/250,368/596 is 1/74500

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 43,52,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,52,368 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 43,52,368 . The biggest common factor number is the GCF number.
So the greatest common factor 43,52,368 is 1.

Lets's calculate LCM of 125,250,596

2 125, 250, 596
5 125, 125, 298
5 25, 25, 298
5 5, 5, 298
1, 1, 298

∴ So the LCM of the given numbers is 2 x 5 x 5 x 5 x 1 x 1 x 298 = 74500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74500

Therefore, the GCF of Fractions 43/125,52/250,368/596 is 1/74500

Least Common Multiple of 125,250,596 with GCF Formula

Least Common Multiple of 125,250,596 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 125,250,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,250,596) = 1

common factors(in case of two or more numbers have common factors) = 250

GCF(125,250,596) x common factors =1 x 250 = 250

LCM(125,250,596) = ( 125 × 250 × 596 ) / 250

LCM(125,250,596) = 18625000 / 250

LCM(125,250,596) = 74500


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 43/125, 52/250, 368/596

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 43/125, 52/250, 368/596?

Answer: GCF of Numerators as per given numbers 43/125, 52/250, 368/596 is

GCF of Numerators i.e. for 43,52,368 is 1

LCM of denominators i.e. for 125,250,596 is 74500.

Thus, GCF of Fractions is 1/74500.Finally, GCF of Fractions for 43/125, 52/250, 368/596 is 1/74500.