Greatest Common Factor of 170/473, 420/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/473, 420/993

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 170/473,420/993

Given fractions are 170/473,420/993

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 170,420

Greatest Common Factor of Numerators i.e. GCF of 170,420 is 10 .

LCM of Denominators means LCM of 473,993 as per the given fractions.

LCM of 473,993 is 469689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,420

GCF of Fractions 170/473,420/993 is 10/469689

2 170, 420
5 85, 210
17, 42

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

Greatest Common Factor of 170,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,420 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 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 170,420 . The biggest common factor number is the GCF number.
So the greatest common factor 170,420 is 10.

Lets's calculate LCM of 473,993

Given numbers has no common factors except 1. So, there LCM is their product i.e 469689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/469689

Therefore, the GCF of Fractions 170/473,420/993 is 10/469689

Least Common Multiple of 473,993 with GCF Formula

Least Common Multiple of 473,993 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 473,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,993) = 1

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

GCF(473,993) x common factors =1 x 1 = 1

LCM(473,993) = ( 473 × 993 ) / 1

LCM(473,993) = 469689 / 1

LCM(473,993) = 469689


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 170/473, 420/993

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 170/473, 420/993?

Answer: GCF of Numerators as per given numbers 170/473, 420/993 is

GCF of Numerators i.e. for 170,420 is 10

LCM of denominators i.e. for 473,993 is 469689.

Thus, GCF of Fractions is 10/469689.Finally, GCF of Fractions for 170/473, 420/993 is 10/469689.