Greatest Common Factor of 203/735, 398/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 203/735, 398/680

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 203/735,398/680

Given fractions are 203/735,398/680

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 203,398

Greatest Common Factor of Numerators i.e. GCF of 203,398 is 1 .

LCM of Denominators means LCM of 735,680 as per the given fractions.

LCM of 735,680 is 99960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 203,398

GCF of Fractions 203/735,398/680 is 1/99960

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

Greatest Common Factor of 203,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,398 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 203,398 . The biggest common factor number is the GCF number.
So the greatest common factor 203,398 is 1.

Lets's calculate LCM of 735,680

5 735, 680
147, 136

∴ So the LCM of the given numbers is 5 x 147 x 136 = 99960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99960

Therefore, the GCF of Fractions 203/735,398/680 is 1/99960

Least Common Multiple of 735,680 with GCF Formula

Least Common Multiple of 735,680 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 735,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,680) = 5

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

GCF(735,680) x common factors =5 x 1 = 5

LCM(735,680) = ( 735 × 680 ) / 5

LCM(735,680) = 499800 / 5

LCM(735,680) = 99960


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 203/735, 398/680

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 203/735, 398/680?

Answer: GCF of Numerators as per given numbers 203/735, 398/680 is

GCF of Numerators i.e. for 203,398 is 1

LCM of denominators i.e. for 735,680 is 99960.

Thus, GCF of Fractions is 1/99960.Finally, GCF of Fractions for 203/735, 398/680 is 1/99960.