Greatest Common Factor of 170/50, 249/54, 900/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/50, 249/54, 900/341

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 170/50,249/54,900/341

Given fractions are 170/50,249/54,900/341

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 170,249,900

Greatest Common Factor of Numerators i.e. GCF of 170,249,900 is 1 .

LCM of Denominators means LCM of 50,54,341 as per the given fractions.

LCM of 50,54,341 is 460350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,249,900

GCF of Fractions 170/50,249/54,900/341 is 1/460350

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

Greatest Common Factor of 170,249,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,249,900 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 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 170,249,900 . The biggest common factor number is the GCF number.
So the greatest common factor 170,249,900 is 1.

Lets's calculate LCM of 50,54,341

2 50, 54, 341
25, 27, 341

∴ So the LCM of the given numbers is 2 x 25 x 27 x 341 = 460350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460350

Therefore, the GCF of Fractions 170/50,249/54,900/341 is 1/460350

Least Common Multiple of 50,54,341 with GCF Formula

Least Common Multiple of 50,54,341 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 50,54,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,54,341) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(50,54,341) x common factors =1 x 2 = 2

LCM(50,54,341) = ( 50 × 54 × 341 ) / 2

LCM(50,54,341) = 920700 / 2

LCM(50,54,341) = 460350


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 170/50, 249/54, 900/341

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 170/50, 249/54, 900/341?

Answer: GCF of Numerators as per given numbers 170/50, 249/54, 900/341 is

GCF of Numerators i.e. for 170,249,900 is 1

LCM of denominators i.e. for 50,54,341 is 460350.

Thus, GCF of Fractions is 1/460350.Finally, GCF of Fractions for 170/50, 249/54, 900/341 is 1/460350.