Greatest Common Factor of 238/611, 180/298, 503/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/611, 180/298, 503/203

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 238/611,180/298,503/203

Given fractions are 238/611,180/298,503/203

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 238,180,503

Greatest Common Factor of Numerators i.e. GCF of 238,180,503 is 1 .

LCM of Denominators means LCM of 611,298,203 as per the given fractions.

LCM of 611,298,203 is 36961834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,180,503

GCF of Fractions 238/611,180/298,503/203 is 1/36961834

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

Greatest Common Factor of 238,180,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,180,503 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 238,180,503 . The biggest common factor number is the GCF number.
So the greatest common factor 238,180,503 is 1.

Lets's calculate LCM of 611,298,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 36961834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36961834

Therefore, the GCF of Fractions 238/611,180/298,503/203 is 1/36961834

Least Common Multiple of 611,298,203 with GCF Formula

Least Common Multiple of 611,298,203 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 611,298,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,298,203) = 1

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

GCF(611,298,203) x common factors =1 x 1 = 1

LCM(611,298,203) = ( 611 × 298 × 203 ) / 1

LCM(611,298,203) = 36961834 / 1

LCM(611,298,203) = 36961834


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 238/611, 180/298, 503/203

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 238/611, 180/298, 503/203?

Answer: GCF of Numerators as per given numbers 238/611, 180/298, 503/203 is

GCF of Numerators i.e. for 238,180,503 is 1

LCM of denominators i.e. for 611,298,203 is 36961834.

Thus, GCF of Fractions is 1/36961834.Finally, GCF of Fractions for 238/611, 180/298, 503/203 is 1/36961834.