Greatest Common Factor of 170/321, 473/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/321, 473/780

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 170/321,473/780

Given fractions are 170/321,473/780

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 170,473

Greatest Common Factor of Numerators i.e. GCF of 170,473 is 1 .

LCM of Denominators means LCM of 321,780 as per the given fractions.

LCM of 321,780 is 83460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,473

GCF of Fractions 170/321,473/780 is 1/83460

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

Greatest Common Factor of 170,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,473 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 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 170,473 . The biggest common factor number is the GCF number.
So the greatest common factor 170,473 is 1.

Lets's calculate LCM of 321,780

3 321, 780
107, 260

∴ So the LCM of the given numbers is 3 x 107 x 260 = 83460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83460

Therefore, the GCF of Fractions 170/321,473/780 is 1/83460

Least Common Multiple of 321,780 with GCF Formula

Least Common Multiple of 321,780 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 321,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,780) = 3

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

GCF(321,780) x common factors =3 x 1 = 3

LCM(321,780) = ( 321 × 780 ) / 3

LCM(321,780) = 250380 / 3

LCM(321,780) = 83460


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 170/321, 473/780

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 170/321, 473/780?

Answer: GCF of Numerators as per given numbers 170/321, 473/780 is

GCF of Numerators i.e. for 170,473 is 1

LCM of denominators i.e. for 321,780 is 83460.

Thus, GCF of Fractions is 1/83460.Finally, GCF of Fractions for 170/321, 473/780 is 1/83460.