Greatest Common Factor of 67/684, 812/778, 789/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/684, 812/778, 789/103

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 67/684,812/778,789/103

Given fractions are 67/684,812/778,789/103

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 67,812,789

Greatest Common Factor of Numerators i.e. GCF of 67,812,789 is 1 .

LCM of Denominators means LCM of 684,778,103 as per the given fractions.

LCM of 684,778,103 is 27405828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,812,789

GCF of Fractions 67/684,812/778,789/103 is 1/27405828

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

Greatest Common Factor of 67,812,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,812,789 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 67,812,789 . The biggest common factor number is the GCF number.
So the greatest common factor 67,812,789 is 1.

Lets's calculate LCM of 684,778,103

2 684, 778, 103
342, 389, 103

∴ So the LCM of the given numbers is 2 x 342 x 389 x 103 = 27405828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27405828

Therefore, the GCF of Fractions 67/684,812/778,789/103 is 1/27405828

Least Common Multiple of 684,778,103 with GCF Formula

Least Common Multiple of 684,778,103 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 684,778,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,778,103) = 1

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

GCF(684,778,103) x common factors =1 x 2 = 2

LCM(684,778,103) = ( 684 × 778 × 103 ) / 2

LCM(684,778,103) = 54811656 / 2

LCM(684,778,103) = 27405828


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 67/684, 812/778, 789/103

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 67/684, 812/778, 789/103?

Answer: GCF of Numerators as per given numbers 67/684, 812/778, 789/103 is

GCF of Numerators i.e. for 67,812,789 is 1

LCM of denominators i.e. for 684,778,103 is 27405828.

Thus, GCF of Fractions is 1/27405828.Finally, GCF of Fractions for 67/684, 812/778, 789/103 is 1/27405828.