Greatest Common Factor of 5730/648, 3342/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5730/648, 3342/791

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 5730/648,3342/791

Given fractions are 5730/648,3342/791

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 5730,3342

Greatest Common Factor of Numerators i.e. GCF of 5730,3342 is 6 .

LCM of Denominators means LCM of 648,791 as per the given fractions.

LCM of 648,791 is 512568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5730,3342

GCF of Fractions 5730/648,3342/791 is 6/512568

2 5730, 3342
3 2865, 1671
955, 557

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5730,3342 By Matching Biggest Common Factor Method

Greatest Common Factor of 5730,3342 By Matching Biggest Common Factor Method

Factors of 5730

List of positive integer factors of 5730 that divides 5730 without a remainder.

1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730

Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1,2,3,6,557,1114,1671,3342

Greatest Common Factor

We found the factors 5730,3342 . The biggest common factor number is the GCF number.
So the greatest common factor 5730,3342 is 6.

Lets's calculate LCM of 648,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 512568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/512568

Therefore, the GCF of Fractions 5730/648,3342/791 is 6/512568

Least Common Multiple of 648,791 with GCF Formula

Least Common Multiple of 648,791 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 648,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,791) = 1

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

GCF(648,791) x common factors =1 x 1 = 1

LCM(648,791) = ( 648 × 791 ) / 1

LCM(648,791) = 512568 / 1

LCM(648,791) = 512568


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 5730/648, 3342/791

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 5730/648, 3342/791?

Answer: GCF of Numerators as per given numbers 5730/648, 3342/791 is

GCF of Numerators i.e. for 5730,3342 is 6

LCM of denominators i.e. for 648,791 is 512568.

Thus, GCF of Fractions is 6/512568.Finally, GCF of Fractions for 5730/648, 3342/791 is 6/512568.