Greatest Common Factor of 610/9716, 170/4665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/9716, 170/4665

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 610/9716,170/4665

Given fractions are 610/9716,170/4665

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 610,170

Greatest Common Factor of Numerators i.e. GCF of 610,170 is 10 .

LCM of Denominators means LCM of 9716,4665 as per the given fractions.

LCM of 9716,4665 is 45325140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,170

GCF of Fractions 610/9716,170/4665 is 10/45325140

2 610, 170
5 305, 85
61, 17

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

Greatest Common Factor of 610,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,170 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

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 610,170 . The biggest common factor number is the GCF number.
So the greatest common factor 610,170 is 10.

Lets's calculate LCM of 9716,4665

Given numbers has no common factors except 1. So, there LCM is their product i.e 45325140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/45325140

Therefore, the GCF of Fractions 610/9716,170/4665 is 10/45325140

Least Common Multiple of 9716,4665 with GCF Formula

Least Common Multiple of 9716,4665 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 9716,4665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9716,4665) = 1

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

GCF(9716,4665) x common factors =1 x 1 = 1

LCM(9716,4665) = ( 9716 × 4665 ) / 1

LCM(9716,4665) = 45325140 / 1

LCM(9716,4665) = 45325140


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 610/9716, 170/4665

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 610/9716, 170/4665?

Answer: GCF of Numerators as per given numbers 610/9716, 170/4665 is

GCF of Numerators i.e. for 610,170 is 10

LCM of denominators i.e. for 9716,4665 is 45325140.

Thus, GCF of Fractions is 10/45325140.Finally, GCF of Fractions for 610/9716, 170/4665 is 10/45325140.