Greatest Common Factor of 200/385, 328/253, 375/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/385, 328/253, 375/436

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 200/385,328/253,375/436

Given fractions are 200/385,328/253,375/436

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 200,328,375

Greatest Common Factor of Numerators i.e. GCF of 200,328,375 is 1 .

LCM of Denominators means LCM of 385,253,436 as per the given fractions.

LCM of 385,253,436 is 3860780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,328,375

GCF of Fractions 200/385,328/253,375/436 is 1/3860780

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

Greatest Common Factor of 200,328,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,328,375 By Matching Biggest Common Factor Method

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

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 200,328,375 . The biggest common factor number is the GCF number.
So the greatest common factor 200,328,375 is 1.

Lets's calculate LCM of 385,253,436

11 385, 253, 436
35, 23, 436

∴ So the LCM of the given numbers is 11 x 35 x 23 x 436 = 3860780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3860780

Therefore, the GCF of Fractions 200/385,328/253,375/436 is 1/3860780

Least Common Multiple of 385,253,436 with GCF Formula

Least Common Multiple of 385,253,436 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 385,253,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,253,436) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(385,253,436) x common factors =1 x 11 = 11

LCM(385,253,436) = ( 385 × 253 × 436 ) / 11

LCM(385,253,436) = 42468580 / 11

LCM(385,253,436) = 3860780


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 200/385, 328/253, 375/436

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 200/385, 328/253, 375/436?

Answer: GCF of Numerators as per given numbers 200/385, 328/253, 375/436 is

GCF of Numerators i.e. for 200,328,375 is 1

LCM of denominators i.e. for 385,253,436 is 3860780.

Thus, GCF of Fractions is 1/3860780.Finally, GCF of Fractions for 200/385, 328/253, 375/436 is 1/3860780.