Greatest Common Factor of 170/51, 8650/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/51, 8650/683

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 170/51,8650/683

Given fractions are 170/51,8650/683

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 170,8650

Greatest Common Factor of Numerators i.e. GCF of 170,8650 is 10 .

LCM of Denominators means LCM of 51,683 as per the given fractions.

LCM of 51,683 is 34833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,8650

GCF of Fractions 170/51,8650/683 is 10/34833

2 170, 8650
5 85, 4325
17, 865

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 170,8650 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,8650 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 8650

List of positive integer factors of 8650 that divides 8650 without a remainder.

1,2,5,10,25,50,173,346,865,1730,4325,8650

Greatest Common Factor

We found the factors 170,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 170,8650 is 10.

Lets's calculate LCM of 51,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 34833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/34833

Therefore, the GCF of Fractions 170/51,8650/683 is 10/34833

Least Common Multiple of 51,683 with GCF Formula

Least Common Multiple of 51,683 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 51,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,683) = 1

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

GCF(51,683) x common factors =1 x 1 = 1

LCM(51,683) = ( 51 × 683 ) / 1

LCM(51,683) = 34833 / 1

LCM(51,683) = 34833


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 170/51, 8650/683

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 170/51, 8650/683?

Answer: GCF of Numerators as per given numbers 170/51, 8650/683 is

GCF of Numerators i.e. for 170,8650 is 10

LCM of denominators i.e. for 51,683 is 34833.

Thus, GCF of Fractions is 10/34833.Finally, GCF of Fractions for 170/51, 8650/683 is 10/34833.