Greatest Common Factor of 561/30, 511/50, 949/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/30, 511/50, 949/659

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 561/30,511/50,949/659

Given fractions are 561/30,511/50,949/659

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 561,511,949

Greatest Common Factor of Numerators i.e. GCF of 561,511,949 is 1 .

LCM of Denominators means LCM of 30,50,659 as per the given fractions.

LCM of 30,50,659 is 98850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,511,949

GCF of Fractions 561/30,511/50,949/659 is 1/98850

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

Greatest Common Factor of 561,511,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,511,949 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 561,511,949 . The biggest common factor number is the GCF number.
So the greatest common factor 561,511,949 is 1.

Lets's calculate LCM of 30,50,659

2 30, 50, 659
5 15, 25, 659
3, 5, 659

∴ So the LCM of the given numbers is 2 x 5 x 3 x 5 x 659 = 98850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98850

Therefore, the GCF of Fractions 561/30,511/50,949/659 is 1/98850

Least Common Multiple of 30,50,659 with GCF Formula

Least Common Multiple of 30,50,659 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 30,50,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,50,659) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,50,659) x common factors =1 x 10 = 10

LCM(30,50,659) = ( 30 × 50 × 659 ) / 10

LCM(30,50,659) = 988500 / 10

LCM(30,50,659) = 98850


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 561/30, 511/50, 949/659

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 561/30, 511/50, 949/659?

Answer: GCF of Numerators as per given numbers 561/30, 511/50, 949/659 is

GCF of Numerators i.e. for 561,511,949 is 1

LCM of denominators i.e. for 30,50,659 is 98850.

Thus, GCF of Fractions is 1/98850.Finally, GCF of Fractions for 561/30, 511/50, 949/659 is 1/98850.