Greatest Common Factor of 586/78, 889/89, 821/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 586/78, 889/89, 821/253

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 586/78,889/89,821/253

Given fractions are 586/78,889/89,821/253

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 586,889,821

Greatest Common Factor of Numerators i.e. GCF of 586,889,821 is 1 .

LCM of Denominators means LCM of 78,89,253 as per the given fractions.

LCM of 78,89,253 is 1756326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 586,889,821

GCF of Fractions 586/78,889/89,821/253 is 1/1756326

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

Greatest Common Factor of 586,889,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,889,821 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 586,889,821 . The biggest common factor number is the GCF number.
So the greatest common factor 586,889,821 is 1.

Lets's calculate LCM of 78,89,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 1756326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1756326

Therefore, the GCF of Fractions 586/78,889/89,821/253 is 1/1756326

Least Common Multiple of 78,89,253 with GCF Formula

Least Common Multiple of 78,89,253 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 78,89,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,89,253) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(78,89,253) x common factors =1 x 1 = 1

LCM(78,89,253) = ( 78 × 89 × 253 ) / 1

LCM(78,89,253) = 1756326 / 1

LCM(78,89,253) = 1756326


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 586/78, 889/89, 821/253

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 586/78, 889/89, 821/253?

Answer: GCF of Numerators as per given numbers 586/78, 889/89, 821/253 is

GCF of Numerators i.e. for 586,889,821 is 1

LCM of denominators i.e. for 78,89,253 is 1756326.

Thus, GCF of Fractions is 1/1756326.Finally, GCF of Fractions for 586/78, 889/89, 821/253 is 1/1756326.