Greatest Common Factor of 260/17, 737/16, 802/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/17, 737/16, 802/575

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 260/17,737/16,802/575

Given fractions are 260/17,737/16,802/575

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 260,737,802

Greatest Common Factor of Numerators i.e. GCF of 260,737,802 is 1 .

LCM of Denominators means LCM of 17,16,575 as per the given fractions.

LCM of 17,16,575 is 156400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,737,802

GCF of Fractions 260/17,737/16,802/575 is 1/156400

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

Greatest Common Factor of 260,737,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,737,802 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 260,737,802 . The biggest common factor number is the GCF number.
So the greatest common factor 260,737,802 is 1.

Lets's calculate LCM of 17,16,575

Given numbers has no common factors except 1. So, there LCM is their product i.e 156400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156400

Therefore, the GCF of Fractions 260/17,737/16,802/575 is 1/156400

Least Common Multiple of 17,16,575 with GCF Formula

Least Common Multiple of 17,16,575 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 17,16,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,16,575) = 1

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

GCF(17,16,575) x common factors =1 x 1 = 1

LCM(17,16,575) = ( 17 × 16 × 575 ) / 1

LCM(17,16,575) = 156400 / 1

LCM(17,16,575) = 156400


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 260/17, 737/16, 802/575

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 260/17, 737/16, 802/575?

Answer: GCF of Numerators as per given numbers 260/17, 737/16, 802/575 is

GCF of Numerators i.e. for 260,737,802 is 1

LCM of denominators i.e. for 17,16,575 is 156400.

Thus, GCF of Fractions is 1/156400.Finally, GCF of Fractions for 260/17, 737/16, 802/575 is 1/156400.