Greatest Common Factor of 558/59, 487/63, 711/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 558/59, 487/63, 711/786

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 558/59,487/63,711/786

Given fractions are 558/59,487/63,711/786

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 558,487,711

Greatest Common Factor of Numerators i.e. GCF of 558,487,711 is 1 .

LCM of Denominators means LCM of 59,63,786 as per the given fractions.

LCM of 59,63,786 is 973854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 558,487,711

GCF of Fractions 558/59,487/63,711/786 is 1/973854

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

Greatest Common Factor of 558,487,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,487,711 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 558,487,711 . The biggest common factor number is the GCF number.
So the greatest common factor 558,487,711 is 1.

Lets's calculate LCM of 59,63,786

3 59, 63, 786
59, 21, 262

∴ So the LCM of the given numbers is 3 x 59 x 21 x 262 = 973854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/973854

Therefore, the GCF of Fractions 558/59,487/63,711/786 is 1/973854

Least Common Multiple of 59,63,786 with GCF Formula

Least Common Multiple of 59,63,786 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 59,63,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,63,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(59,63,786) x common factors =1 x 3 = 3

LCM(59,63,786) = ( 59 × 63 × 786 ) / 3

LCM(59,63,786) = 2921562 / 3

LCM(59,63,786) = 973854


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 558/59, 487/63, 711/786

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 558/59, 487/63, 711/786?

Answer: GCF of Numerators as per given numbers 558/59, 487/63, 711/786 is

GCF of Numerators i.e. for 558,487,711 is 1

LCM of denominators i.e. for 59,63,786 is 973854.

Thus, GCF of Fractions is 1/973854.Finally, GCF of Fractions for 558/59, 487/63, 711/786 is 1/973854.