Greatest Common Factor of 58/561, 509/240, 881/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/561, 509/240, 881/626

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 58/561,509/240,881/626

Given fractions are 58/561,509/240,881/626

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 58,509,881

Greatest Common Factor of Numerators i.e. GCF of 58,509,881 is 1 .

LCM of Denominators means LCM of 561,240,626 as per the given fractions.

LCM of 561,240,626 is 14047440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,509,881

GCF of Fractions 58/561,509/240,881/626 is 1/14047440

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

Greatest Common Factor of 58,509,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,509,881 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 58,509,881 . The biggest common factor number is the GCF number.
So the greatest common factor 58,509,881 is 1.

Lets's calculate LCM of 561,240,626

2 561, 240, 626
3 561, 120, 313
187, 40, 313

∴ So the LCM of the given numbers is 2 x 3 x 187 x 40 x 313 = 14047440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14047440

Therefore, the GCF of Fractions 58/561,509/240,881/626 is 1/14047440

Least Common Multiple of 561,240,626 with GCF Formula

Least Common Multiple of 561,240,626 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 561,240,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,240,626) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(561,240,626) x common factors =1 x 6 = 6

LCM(561,240,626) = ( 561 × 240 × 626 ) / 6

LCM(561,240,626) = 84284640 / 6

LCM(561,240,626) = 14047440


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 58/561, 509/240, 881/626

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 58/561, 509/240, 881/626?

Answer: GCF of Numerators as per given numbers 58/561, 509/240, 881/626 is

GCF of Numerators i.e. for 58,509,881 is 1

LCM of denominators i.e. for 561,240,626 is 14047440.

Thus, GCF of Fractions is 1/14047440.Finally, GCF of Fractions for 58/561, 509/240, 881/626 is 1/14047440.