Greatest Common Factor of 170/910, 313/444, 823/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/910, 313/444, 823/835

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 170/910,313/444,823/835

Given fractions are 170/910,313/444,823/835

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 170,313,823

Greatest Common Factor of Numerators i.e. GCF of 170,313,823 is 1 .

LCM of Denominators means LCM of 910,444,835 as per the given fractions.

LCM of 910,444,835 is 33737340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,313,823

GCF of Fractions 170/910,313/444,823/835 is 1/33737340

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

Greatest Common Factor of 170,313,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,313,823 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 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 170,313,823 . The biggest common factor number is the GCF number.
So the greatest common factor 170,313,823 is 1.

Lets's calculate LCM of 910,444,835

2 910, 444, 835
5 455, 222, 835
91, 222, 167

∴ So the LCM of the given numbers is 2 x 5 x 91 x 222 x 167 = 33737340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33737340

Therefore, the GCF of Fractions 170/910,313/444,823/835 is 1/33737340

Least Common Multiple of 910,444,835 with GCF Formula

Least Common Multiple of 910,444,835 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 910,444,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,444,835) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(910,444,835) x common factors =1 x 10 = 10

LCM(910,444,835) = ( 910 × 444 × 835 ) / 10

LCM(910,444,835) = 337373400 / 10

LCM(910,444,835) = 33737340


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 170/910, 313/444, 823/835

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 170/910, 313/444, 823/835?

Answer: GCF of Numerators as per given numbers 170/910, 313/444, 823/835 is

GCF of Numerators i.e. for 170,313,823 is 1

LCM of denominators i.e. for 910,444,835 is 33737340.

Thus, GCF of Fractions is 1/33737340.Finally, GCF of Fractions for 170/910, 313/444, 823/835 is 1/33737340.