Greatest Common Factor of 18/772, 72/178, 887/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/772, 72/178, 887/820

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 18/772,72/178,887/820

Given fractions are 18/772,72/178,887/820

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 18,72,887

Greatest Common Factor of Numerators i.e. GCF of 18,72,887 is 1 .

LCM of Denominators means LCM of 772,178,820 as per the given fractions.

LCM of 772,178,820 is 14085140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,72,887

GCF of Fractions 18/772,72/178,887/820 is 1/14085140

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

Greatest Common Factor of 18,72,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,72,887 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 18,72,887 . The biggest common factor number is the GCF number.
So the greatest common factor 18,72,887 is 1.

Lets's calculate LCM of 772,178,820

2 772, 178, 820
2 386, 89, 410
193, 89, 205

∴ So the LCM of the given numbers is 2 x 2 x 193 x 89 x 205 = 14085140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14085140

Therefore, the GCF of Fractions 18/772,72/178,887/820 is 1/14085140

Least Common Multiple of 772,178,820 with GCF Formula

Least Common Multiple of 772,178,820 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 772,178,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,178,820) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(772,178,820) x common factors =2 x 4 = 8

LCM(772,178,820) = ( 772 × 178 × 820 ) / 8

LCM(772,178,820) = 112681120 / 8

LCM(772,178,820) = 14085140


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 18/772, 72/178, 887/820

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 18/772, 72/178, 887/820?

Answer: GCF of Numerators as per given numbers 18/772, 72/178, 887/820 is

GCF of Numerators i.e. for 18,72,887 is 1

LCM of denominators i.e. for 772,178,820 is 14085140.

Thus, GCF of Fractions is 1/14085140.Finally, GCF of Fractions for 18/772, 72/178, 887/820 is 1/14085140.