Greatest Common Factor of 30/272, 360/251, 571/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/272, 360/251, 571/898

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 30/272,360/251,571/898

Given fractions are 30/272,360/251,571/898

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 30,360,571

Greatest Common Factor of Numerators i.e. GCF of 30,360,571 is 1 .

LCM of Denominators means LCM of 272,251,898 as per the given fractions.

LCM of 272,251,898 is 30654128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,360,571

GCF of Fractions 30/272,360/251,571/898 is 1/30654128

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

Greatest Common Factor of 30,360,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,360,571 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 30,360,571 . The biggest common factor number is the GCF number.
So the greatest common factor 30,360,571 is 1.

Lets's calculate LCM of 272,251,898

2 272, 251, 898
136, 251, 449

∴ So the LCM of the given numbers is 2 x 136 x 251 x 449 = 30654128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30654128

Therefore, the GCF of Fractions 30/272,360/251,571/898 is 1/30654128

Least Common Multiple of 272,251,898 with GCF Formula

Least Common Multiple of 272,251,898 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 272,251,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,251,898) = 1

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

GCF(272,251,898) x common factors =1 x 2 = 2

LCM(272,251,898) = ( 272 × 251 × 898 ) / 2

LCM(272,251,898) = 61308256 / 2

LCM(272,251,898) = 30654128


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 30/272, 360/251, 571/898

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 30/272, 360/251, 571/898?

Answer: GCF of Numerators as per given numbers 30/272, 360/251, 571/898 is

GCF of Numerators i.e. for 30,360,571 is 1

LCM of denominators i.e. for 272,251,898 is 30654128.

Thus, GCF of Fractions is 1/30654128.Finally, GCF of Fractions for 30/272, 360/251, 571/898 is 1/30654128.