Greatest Common Factor of 689/16, 170/78, 255/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/16, 170/78, 255/811

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 689/16,170/78,255/811

Given fractions are 689/16,170/78,255/811

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 689,170,255

Greatest Common Factor of Numerators i.e. GCF of 689,170,255 is 1 .

LCM of Denominators means LCM of 16,78,811 as per the given fractions.

LCM of 16,78,811 is 506064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,170,255

GCF of Fractions 689/16,170/78,255/811 is 1/506064

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

Greatest Common Factor of 689,170,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,170,255 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

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 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 689,170,255 . The biggest common factor number is the GCF number.
So the greatest common factor 689,170,255 is 1.

Lets's calculate LCM of 16,78,811

2 16, 78, 811
8, 39, 811

∴ So the LCM of the given numbers is 2 x 8 x 39 x 811 = 506064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506064

Therefore, the GCF of Fractions 689/16,170/78,255/811 is 1/506064

Least Common Multiple of 16,78,811 with GCF Formula

Least Common Multiple of 16,78,811 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 16,78,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,78,811) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,78,811) x common factors =1 x 2 = 2

LCM(16,78,811) = ( 16 × 78 × 811 ) / 2

LCM(16,78,811) = 1012128 / 2

LCM(16,78,811) = 506064


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 689/16, 170/78, 255/811

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 689/16, 170/78, 255/811?

Answer: GCF of Numerators as per given numbers 689/16, 170/78, 255/811 is

GCF of Numerators i.e. for 689,170,255 is 1

LCM of denominators i.e. for 16,78,811 is 506064.

Thus, GCF of Fractions is 1/506064.Finally, GCF of Fractions for 689/16, 170/78, 255/811 is 1/506064.