Greatest Common Factor of 475/386, 200/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/386, 200/798

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 475/386,200/798

Given fractions are 475/386,200/798

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 475,200

Greatest Common Factor of Numerators i.e. GCF of 475,200 is 25 .

LCM of Denominators means LCM of 386,798 as per the given fractions.

LCM of 386,798 is 154014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,200

GCF of Fractions 475/386,200/798 is 25/154014

5 475, 200
5 95, 40
19, 8

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 475,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,200 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

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 475,200 . The biggest common factor number is the GCF number.
So the greatest common factor 475,200 is 25.

Lets's calculate LCM of 386,798

2 386, 798
193, 399

∴ So the LCM of the given numbers is 2 x 193 x 399 = 154014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/154014

Therefore, the GCF of Fractions 475/386,200/798 is 25/154014

Least Common Multiple of 386,798 with GCF Formula

Least Common Multiple of 386,798 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 386,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,798) = 2

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

GCF(386,798) x common factors =2 x 1 = 2

LCM(386,798) = ( 386 × 798 ) / 2

LCM(386,798) = 308028 / 2

LCM(386,798) = 154014


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 475/386, 200/798

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 475/386, 200/798?

Answer: GCF of Numerators as per given numbers 475/386, 200/798 is

GCF of Numerators i.e. for 475,200 is 25

LCM of denominators i.e. for 386,798 is 154014.

Thus, GCF of Fractions is 25/154014.Finally, GCF of Fractions for 475/386, 200/798 is 25/154014.