Greatest Common Factor of 5792/75, 3670/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5792/75, 3670/786

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 5792/75,3670/786

Given fractions are 5792/75,3670/786

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 5792,3670

Greatest Common Factor of Numerators i.e. GCF of 5792,3670 is 2 .

LCM of Denominators means LCM of 75,786 as per the given fractions.

LCM of 75,786 is 19650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5792,3670

GCF of Fractions 5792/75,3670/786 is 2/19650

2 5792, 3670
2896, 1835

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

Greatest Common Factor of 5792,3670 By Matching Biggest Common Factor Method

Greatest Common Factor of 5792,3670 By Matching Biggest Common Factor Method

Factors of 5792

List of positive integer factors of 5792 that divides 5792 without a remainder.

1,2,4,8,16,32,181,362,724,1448,2896,5792

Factors of 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1,2,5,10,367,734,1835,3670

Greatest Common Factor

We found the factors 5792,3670 . The biggest common factor number is the GCF number.
So the greatest common factor 5792,3670 is 2.

Lets's calculate LCM of 75,786

3 75, 786
25, 262

∴ So the LCM of the given numbers is 3 x 25 x 262 = 19650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19650

Therefore, the GCF of Fractions 5792/75,3670/786 is 2/19650

Least Common Multiple of 75,786 with GCF Formula

Least Common Multiple of 75,786 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 75,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,786) = 3

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

GCF(75,786) x common factors =3 x 1 = 3

LCM(75,786) = ( 75 × 786 ) / 3

LCM(75,786) = 58950 / 3

LCM(75,786) = 19650


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 5792/75, 3670/786

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 5792/75, 3670/786?

Answer: GCF of Numerators as per given numbers 5792/75, 3670/786 is

GCF of Numerators i.e. for 5792,3670 is 2

LCM of denominators i.e. for 75,786 is 19650.

Thus, GCF of Fractions is 2/19650.Finally, GCF of Fractions for 5792/75, 3670/786 is 2/19650.