Greatest Common Factor of 2600/155, 8288/5739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2600/155, 8288/5739

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 2600/155,8288/5739

Given fractions are 2600/155,8288/5739

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 2600,8288

Greatest Common Factor of Numerators i.e. GCF of 2600,8288 is 8 .

LCM of Denominators means LCM of 155,5739 as per the given fractions.

LCM of 155,5739 is 889545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2600,8288

GCF of Fractions 2600/155,8288/5739 is 8/889545

2 2600, 8288
2 1300, 4144
2 650, 2072
325, 1036

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2600,8288 By Matching Biggest Common Factor Method

Greatest Common Factor of 2600,8288 By Matching Biggest Common Factor Method

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288

Greatest Common Factor

We found the factors 2600,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,8288 is 8.

Lets's calculate LCM of 155,5739

Given numbers has no common factors except 1. So, there LCM is their product i.e 889545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/889545

Therefore, the GCF of Fractions 2600/155,8288/5739 is 8/889545

Least Common Multiple of 155,5739 with GCF Formula

Least Common Multiple of 155,5739 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 155,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,5739) = 1

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

GCF(155,5739) x common factors =1 x 1 = 1

LCM(155,5739) = ( 155 × 5739 ) / 1

LCM(155,5739) = 889545 / 1

LCM(155,5739) = 889545


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 2600/155, 8288/5739

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 2600/155, 8288/5739?

Answer: GCF of Numerators as per given numbers 2600/155, 8288/5739 is

GCF of Numerators i.e. for 2600,8288 is 8

LCM of denominators i.e. for 155,5739 is 889545.

Thus, GCF of Fractions is 8/889545.Finally, GCF of Fractions for 2600/155, 8288/5739 is 8/889545.