Greatest Common Factor of 98/290, 270/401, 464/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/290, 270/401, 464/538

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 98/290,270/401,464/538

Given fractions are 98/290,270/401,464/538

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 98,270,464

Greatest Common Factor of Numerators i.e. GCF of 98,270,464 is 2 .

LCM of Denominators means LCM of 290,401,538 as per the given fractions.

LCM of 290,401,538 is 31282010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,270,464

GCF of Fractions 98/290,270/401,464/538 is 2/31282010

2 98, 270, 464
49, 135, 232

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 98,270,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,270,464 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 98,270,464 . The biggest common factor number is the GCF number.
So the greatest common factor 98,270,464 is 2.

Lets's calculate LCM of 290,401,538

2 290, 401, 538
145, 401, 269

∴ So the LCM of the given numbers is 2 x 145 x 401 x 269 = 31282010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31282010

Therefore, the GCF of Fractions 98/290,270/401,464/538 is 2/31282010

Least Common Multiple of 290,401,538 with GCF Formula

Least Common Multiple of 290,401,538 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 290,401,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,401,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(290,401,538) x common factors =1 x 2 = 2

LCM(290,401,538) = ( 290 × 401 × 538 ) / 2

LCM(290,401,538) = 62564020 / 2

LCM(290,401,538) = 31282010


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 98/290, 270/401, 464/538

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 98/290, 270/401, 464/538?

Answer: GCF of Numerators as per given numbers 98/290, 270/401, 464/538 is

GCF of Numerators i.e. for 98,270,464 is 2

LCM of denominators i.e. for 290,401,538 is 31282010.

Thus, GCF of Fractions is 2/31282010.Finally, GCF of Fractions for 98/290, 270/401, 464/538 is 2/31282010.