Greatest Common Factor of 6658/780, 1788/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6658/780, 1788/433

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 6658/780,1788/433

Given fractions are 6658/780,1788/433

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 6658,1788

Greatest Common Factor of Numerators i.e. GCF of 6658,1788 is 2 .

LCM of Denominators means LCM of 780,433 as per the given fractions.

LCM of 780,433 is 337740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6658,1788

GCF of Fractions 6658/780,1788/433 is 2/337740

2 6658, 1788
3329, 894

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

Greatest Common Factor of 6658,1788 By Matching Biggest Common Factor Method

Greatest Common Factor of 6658,1788 By Matching Biggest Common Factor Method

Factors of 6658

List of positive integer factors of 6658 that divides 6658 without a remainder.

1,2,3329,6658

Factors of 1788

List of positive integer factors of 1788 that divides 1788 without a remainder.

1,2,3,4,6,12,149,298,447,596,894,1788

Greatest Common Factor

We found the factors 6658,1788 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,1788 is 2.


Lets's calculate LCM of 780,433

Given numbers has no common factors except 1. So, there LCM is their product i.e 337740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/337740

Therefore, the GCF of Fractions 6658/780,1788/433 is 2/337740

Least Common Multiple of 780,433 with GCF Formula

Least Common Multiple of 780,433 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 780,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,433) = 1

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

GCF(780,433) x common factors =1 x 1 = 1

LCM(780,433) = ( 780 × 433 ) / 1

LCM(780,433) = 337740 / 1

LCM(780,433) = 337740


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6658/780, 1788/433

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 6658/780, 1788/433?

Answer: GCF of Numerators as per given numbers 6658/780, 1788/433 is

GCF of Numerators i.e. for 6658,1788 is 2

LCM of denominators i.e. for 780,433 is 337740.

Thus, GCF of Fractions is 2/337740.Finally, GCF of Fractions for 6658/780, 1788/433 is 2/337740.