Greatest Common Factor of 382/67, 712/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/67, 712/789

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 382/67,712/789

Given fractions are 382/67,712/789

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 382,712

Greatest Common Factor of Numerators i.e. GCF of 382,712 is 2 .

LCM of Denominators means LCM of 67,789 as per the given fractions.

LCM of 67,789 is 52863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,712

GCF of Fractions 382/67,712/789 is 2/52863

2 382, 712
191, 356

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 382,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,712 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 382,712 . The biggest common factor number is the GCF number.
So the greatest common factor 382,712 is 2.

Lets's calculate LCM of 67,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 52863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52863

Therefore, the GCF of Fractions 382/67,712/789 is 2/52863

Least Common Multiple of 67,789 with GCF Formula

Least Common Multiple of 67,789 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 67,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,789) = 1

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

GCF(67,789) x common factors =1 x 1 = 1

LCM(67,789) = ( 67 × 789 ) / 1

LCM(67,789) = 52863 / 1

LCM(67,789) = 52863


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 382/67, 712/789

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 382/67, 712/789?

Answer: GCF of Numerators as per given numbers 382/67, 712/789 is

GCF of Numerators i.e. for 382,712 is 2

LCM of denominators i.e. for 67,789 is 52863.

Thus, GCF of Fractions is 2/52863.Finally, GCF of Fractions for 382/67, 712/789 is 2/52863.