Greatest Common Factor of 125/74, 385/38, 200/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/74, 385/38, 200/184

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 125/74,385/38,200/184

Given fractions are 125/74,385/38,200/184

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 125,385,200

Greatest Common Factor of Numerators i.e. GCF of 125,385,200 is 5 .

LCM of Denominators means LCM of 74,38,184 as per the given fractions.

LCM of 74,38,184 is 129352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,385,200

GCF of Fractions 125/74,385/38,200/184 is 5/129352

5 125, 385, 200
25, 77, 40

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 125,385,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,385,200 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 125,385,200 . The biggest common factor number is the GCF number.
So the greatest common factor 125,385,200 is 5.

Lets's calculate LCM of 74,38,184

2 74, 38, 184
37, 19, 92

∴ So the LCM of the given numbers is 2 x 37 x 19 x 92 = 129352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/129352

Therefore, the GCF of Fractions 125/74,385/38,200/184 is 5/129352

Least Common Multiple of 74,38,184 with GCF Formula

Least Common Multiple of 74,38,184 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 74,38,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,38,184) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,38,184) x common factors =2 x 2 = 4

LCM(74,38,184) = ( 74 × 38 × 184 ) / 4

LCM(74,38,184) = 517408 / 4

LCM(74,38,184) = 129352


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 125/74, 385/38, 200/184

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 125/74, 385/38, 200/184?

Answer: GCF of Numerators as per given numbers 125/74, 385/38, 200/184 is

GCF of Numerators i.e. for 125,385,200 is 5

LCM of denominators i.e. for 74,38,184 is 129352.

Thus, GCF of Fractions is 5/129352.Finally, GCF of Fractions for 125/74, 385/38, 200/184 is 5/129352.