Greatest Common Factor of 72/523, 68/178, 889/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/523, 68/178, 889/778

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 72/523,68/178,889/778

Given fractions are 72/523,68/178,889/778

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 72,68,889

Greatest Common Factor of Numerators i.e. GCF of 72,68,889 is 1 .

LCM of Denominators means LCM of 523,178,778 as per the given fractions.

LCM of 523,178,778 is 36213566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,68,889

GCF of Fractions 72/523,68/178,889/778 is 1/36213566

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

Greatest Common Factor of 72,68,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,68,889 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 889

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

1,7,127,889

Greatest Common Factor

We found the factors 72,68,889 . The biggest common factor number is the GCF number.
So the greatest common factor 72,68,889 is 1.

Lets's calculate LCM of 523,178,778

2 523, 178, 778
523, 89, 389

∴ So the LCM of the given numbers is 2 x 523 x 89 x 389 = 36213566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36213566

Therefore, the GCF of Fractions 72/523,68/178,889/778 is 1/36213566

Least Common Multiple of 523,178,778 with GCF Formula

Least Common Multiple of 523,178,778 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 523,178,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,178,778) = 1

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

GCF(523,178,778) x common factors =1 x 2 = 2

LCM(523,178,778) = ( 523 × 178 × 778 ) / 2

LCM(523,178,778) = 72427132 / 2

LCM(523,178,778) = 36213566


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 72/523, 68/178, 889/778

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 72/523, 68/178, 889/778?

Answer: GCF of Numerators as per given numbers 72/523, 68/178, 889/778 is

GCF of Numerators i.e. for 72,68,889 is 1

LCM of denominators i.e. for 523,178,778 is 36213566.

Thus, GCF of Fractions is 1/36213566.Finally, GCF of Fractions for 72/523, 68/178, 889/778 is 1/36213566.