Greatest Common Factor of 208/83, 575/41, 298/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/83, 575/41, 298/635

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 208/83,575/41,298/635

Given fractions are 208/83,575/41,298/635

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 208,575,298

Greatest Common Factor of Numerators i.e. GCF of 208,575,298 is 1 .

LCM of Denominators means LCM of 83,41,635 as per the given fractions.

LCM of 83,41,635 is 2160905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,575,298

GCF of Fractions 208/83,575/41,298/635 is 1/2160905

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

Greatest Common Factor of 208,575,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,575,298 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 208,575,298 . The biggest common factor number is the GCF number.
So the greatest common factor 208,575,298 is 1.

Lets's calculate LCM of 83,41,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 2160905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160905

Therefore, the GCF of Fractions 208/83,575/41,298/635 is 1/2160905

Least Common Multiple of 83,41,635 with GCF Formula

Least Common Multiple of 83,41,635 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 83,41,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,41,635) = 1

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

GCF(83,41,635) x common factors =1 x 1 = 1

LCM(83,41,635) = ( 83 × 41 × 635 ) / 1

LCM(83,41,635) = 2160905 / 1

LCM(83,41,635) = 2160905


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 208/83, 575/41, 298/635

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 208/83, 575/41, 298/635?

Answer: GCF of Numerators as per given numbers 208/83, 575/41, 298/635 is

GCF of Numerators i.e. for 208,575,298 is 1

LCM of denominators i.e. for 83,41,635 is 2160905.

Thus, GCF of Fractions is 1/2160905.Finally, GCF of Fractions for 208/83, 575/41, 298/635 is 1/2160905.