Greatest Common Factor of 5658/794, 7716/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5658/794, 7716/145

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 5658/794,7716/145

Given fractions are 5658/794,7716/145

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 5658,7716

Greatest Common Factor of Numerators i.e. GCF of 5658,7716 is 6 .

LCM of Denominators means LCM of 794,145 as per the given fractions.

LCM of 794,145 is 115130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5658,7716

GCF of Fractions 5658/794,7716/145 is 6/115130

2 5658, 7716
3 2829, 3858
943, 1286

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

Greatest Common Factor of 5658,7716 By Matching Biggest Common Factor Method

Greatest Common Factor of 5658,7716 By Matching Biggest Common Factor Method

Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Greatest Common Factor

We found the factors 5658,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 5658,7716 is 6.

Lets's calculate LCM of 794,145

Given numbers has no common factors except 1. So, there LCM is their product i.e 115130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/115130

Therefore, the GCF of Fractions 5658/794,7716/145 is 6/115130

Least Common Multiple of 794,145 with GCF Formula

Least Common Multiple of 794,145 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 794,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,145) = 1

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

GCF(794,145) x common factors =1 x 1 = 1

LCM(794,145) = ( 794 × 145 ) / 1

LCM(794,145) = 115130 / 1

LCM(794,145) = 115130


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 5658/794, 7716/145

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 5658/794, 7716/145?

Answer: GCF of Numerators as per given numbers 5658/794, 7716/145 is

GCF of Numerators i.e. for 5658,7716 is 6

LCM of denominators i.e. for 794,145 is 115130.

Thus, GCF of Fractions is 6/115130.Finally, GCF of Fractions for 5658/794, 7716/145 is 6/115130.