Greatest Common Factor of 289/6100, 170/5600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/6100, 170/5600

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 289/6100,170/5600

Given fractions are 289/6100,170/5600

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 289,170

Greatest Common Factor of Numerators i.e. GCF of 289,170 is 17 .

LCM of Denominators means LCM of 6100,5600 as per the given fractions.

LCM of 6100,5600 is 341600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,170

GCF of Fractions 289/6100,170/5600 is 17/341600

17 289, 170
17, 10

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

Greatest Common Factor of 289,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,170 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 289,170 . The biggest common factor number is the GCF number.
So the greatest common factor 289,170 is 17.

Lets's calculate LCM of 6100,5600

2 6100, 5600
2 3050, 2800
5 1525, 1400
5 305, 280
61, 56

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 61 x 56 = 341600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/341600

Therefore, the GCF of Fractions 289/6100,170/5600 is 17/341600

Least Common Multiple of 6100,5600 with GCF Formula

Least Common Multiple of 6100,5600 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 6100,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6100,5600) = 100

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

GCF(6100,5600) x common factors =100 x 1 = 100

LCM(6100,5600) = ( 6100 × 5600 ) / 100

LCM(6100,5600) = 34160000 / 100

LCM(6100,5600) = 341600


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 289/6100, 170/5600

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 289/6100, 170/5600?

Answer: GCF of Numerators as per given numbers 289/6100, 170/5600 is

GCF of Numerators i.e. for 289,170 is 17

LCM of denominators i.e. for 6100,5600 is 341600.

Thus, GCF of Fractions is 17/341600.Finally, GCF of Fractions for 289/6100, 170/5600 is 17/341600.