Greatest Common Factor of 5729/31, 7854/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5729/31, 7854/266

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 5729/31,7854/266

Given fractions are 5729/31,7854/266

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 5729,7854

Greatest Common Factor of Numerators i.e. GCF of 5729,7854 is 17 .

LCM of Denominators means LCM of 31,266 as per the given fractions.

LCM of 31,266 is 8246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5729,7854

GCF of Fractions 5729/31,7854/266 is 17/8246

17 5729, 7854
337, 462

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 5729,7854 By Matching Biggest Common Factor Method

Greatest Common Factor of 5729,7854 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 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854

Greatest Common Factor

We found the factors 5729,7854 . The biggest common factor number is the GCF number.
So the greatest common factor 5729,7854 is 17.

Lets's calculate LCM of 31,266

Given numbers has no common factors except 1. So, there LCM is their product i.e 8246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/8246

Therefore, the GCF of Fractions 5729/31,7854/266 is 17/8246

Least Common Multiple of 31,266 with GCF Formula

Least Common Multiple of 31,266 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 31,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,266) = 1

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

GCF(31,266) x common factors =1 x 1 = 1

LCM(31,266) = ( 31 × 266 ) / 1

LCM(31,266) = 8246 / 1

LCM(31,266) = 8246


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 5729/31, 7854/266

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 5729/31, 7854/266?

Answer: GCF of Numerators as per given numbers 5729/31, 7854/266 is

GCF of Numerators i.e. for 5729,7854 is 17

LCM of denominators i.e. for 31,266 is 8246.

Thus, GCF of Fractions is 17/8246.Finally, GCF of Fractions for 5729/31, 7854/266 is 17/8246.