Greatest Common Factor of 859/52, 702/11, 259/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 859/52, 702/11, 259/16

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 859/52,702/11,259/16

Given fractions are 859/52,702/11,259/16

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 859,702,259

Greatest Common Factor of Numerators i.e. GCF of 859,702,259 is 1 .

LCM of Denominators means LCM of 52,11,16 as per the given fractions.

LCM of 52,11,16 is 2288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 859,702,259

GCF of Fractions 859/52,702/11,259/16 is 1/2288

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

Greatest Common Factor of 859,702,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,702,259 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 859,702,259 . The biggest common factor number is the GCF number.
So the greatest common factor 859,702,259 is 1.

Lets's calculate LCM of 52,11,16

2 52, 11, 16
2 26, 11, 8
13, 11, 4

∴ So the LCM of the given numbers is 2 x 2 x 13 x 11 x 4 = 2288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2288

Therefore, the GCF of Fractions 859/52,702/11,259/16 is 1/2288

Least Common Multiple of 52,11,16 with GCF Formula

Least Common Multiple of 52,11,16 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 52,11,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,11,16) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,11,16) x common factors =1 x 4 = 4

LCM(52,11,16) = ( 52 × 11 × 16 ) / 4

LCM(52,11,16) = 9152 / 4

LCM(52,11,16) = 2288


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 859/52, 702/11, 259/16

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 859/52, 702/11, 259/16?

Answer: GCF of Numerators as per given numbers 859/52, 702/11, 259/16 is

GCF of Numerators i.e. for 859,702,259 is 1

LCM of denominators i.e. for 52,11,16 is 2288.

Thus, GCF of Fractions is 1/2288.Finally, GCF of Fractions for 859/52, 702/11, 259/16 is 1/2288.