Greatest Common Factor of 5729/40, 8392/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5729/40, 8392/757

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 5729/40,8392/757

Given fractions are 5729/40,8392/757

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 5729,8392

Greatest Common Factor of Numerators i.e. GCF of 5729,8392 is 1 .

LCM of Denominators means LCM of 40,757 as per the given fractions.

LCM of 40,757 is 30280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5729,8392

GCF of Fractions 5729/40,8392/757 is 1/30280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5729,8392 By Matching Biggest Common Factor Method

Greatest Common Factor of 5729,8392 By Matching Biggest Common Factor Method

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Factors of 8392

List of positive integer factors of 8392 that divides 8392 without a remainder.

1,2,4,8,1049,2098,4196,8392

Greatest Common Factor

We found the factors 5729,8392 . The biggest common factor number is the GCF number.
So the greatest common factor 5729,8392 is 1.

Lets's calculate LCM of 40,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 30280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30280

Therefore, the GCF of Fractions 5729/40,8392/757 is 1/30280

Least Common Multiple of 40,757 with GCF Formula

Least Common Multiple of 40,757 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 40,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,757) = 1

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

GCF(40,757) x common factors =1 x 1 = 1

LCM(40,757) = ( 40 × 757 ) / 1

LCM(40,757) = 30280 / 1

LCM(40,757) = 30280


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 5729/40, 8392/757

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 5729/40, 8392/757?

Answer: GCF of Numerators as per given numbers 5729/40, 8392/757 is

GCF of Numerators i.e. for 5729,8392 is 1

LCM of denominators i.e. for 40,757 is 30280.

Thus, GCF of Fractions is 1/30280.Finally, GCF of Fractions for 5729/40, 8392/757 is 1/30280.