Greatest Common Factor of 170/53, 381/71, 560/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/53, 381/71, 560/596

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 170/53,381/71,560/596

Given fractions are 170/53,381/71,560/596

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 170,381,560

Greatest Common Factor of Numerators i.e. GCF of 170,381,560 is 1 .

LCM of Denominators means LCM of 53,71,596 as per the given fractions.

LCM of 53,71,596 is 2242748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,381,560

GCF of Fractions 170/53,381/71,560/596 is 1/2242748

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

Greatest Common Factor of 170,381,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,381,560 By Matching Biggest Common Factor Method

Factors of 170

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

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

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 170,381,560 . The biggest common factor number is the GCF number.
So the greatest common factor 170,381,560 is 1.

Lets's calculate LCM of 53,71,596

Given numbers has no common factors except 1. So, there LCM is their product i.e 2242748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2242748

Therefore, the GCF of Fractions 170/53,381/71,560/596 is 1/2242748

Least Common Multiple of 53,71,596 with GCF Formula

Least Common Multiple of 53,71,596 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 53,71,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,71,596) = 1

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

GCF(53,71,596) x common factors =1 x 1 = 1

LCM(53,71,596) = ( 53 × 71 × 596 ) / 1

LCM(53,71,596) = 2242748 / 1

LCM(53,71,596) = 2242748


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 170/53, 381/71, 560/596

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 170/53, 381/71, 560/596?

Answer: GCF of Numerators as per given numbers 170/53, 381/71, 560/596 is

GCF of Numerators i.e. for 170,381,560 is 1

LCM of denominators i.e. for 53,71,596 is 2242748.

Thus, GCF of Fractions is 1/2242748.Finally, GCF of Fractions for 170/53, 381/71, 560/596 is 1/2242748.