Greatest Common Factor of 786/364, 7006/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/364, 7006/678

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 786/364,7006/678

Given fractions are 786/364,7006/678

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 786,7006

Greatest Common Factor of Numerators i.e. GCF of 786,7006 is 2 .

LCM of Denominators means LCM of 364,678 as per the given fractions.

LCM of 364,678 is 123396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,7006

GCF of Fractions 786/364,7006/678 is 2/123396

2 786, 7006
393, 3503

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

Greatest Common Factor of 786,7006 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,7006 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Greatest Common Factor

We found the factors 786,7006 . The biggest common factor number is the GCF number.
So the greatest common factor 786,7006 is 2.

Lets's calculate LCM of 364,678

2 364, 678
182, 339

∴ So the LCM of the given numbers is 2 x 182 x 339 = 123396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123396

Therefore, the GCF of Fractions 786/364,7006/678 is 2/123396

Least Common Multiple of 364,678 with GCF Formula

Least Common Multiple of 364,678 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 364,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,678) = 2

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

GCF(364,678) x common factors =2 x 1 = 2

LCM(364,678) = ( 364 × 678 ) / 2

LCM(364,678) = 246792 / 2

LCM(364,678) = 123396


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 786/364, 7006/678

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 786/364, 7006/678?

Answer: GCF of Numerators as per given numbers 786/364, 7006/678 is

GCF of Numerators i.e. for 786,7006 is 2

LCM of denominators i.e. for 364,678 is 123396.

Thus, GCF of Fractions is 2/123396.Finally, GCF of Fractions for 786/364, 7006/678 is 2/123396.