Greatest Common Factor of 1800/435, 1917/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1800/435, 1917/296

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 1800/435,1917/296

Given fractions are 1800/435,1917/296

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 1800,1917

Greatest Common Factor of Numerators i.e. GCF of 1800,1917 is 9 .

LCM of Denominators means LCM of 435,296 as per the given fractions.

LCM of 435,296 is 128760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1800,1917

GCF of Fractions 1800/435,1917/296 is 9/128760

3 1800, 1917
3 600, 639
200, 213

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1800,1917 By Matching Biggest Common Factor Method

Greatest Common Factor of 1800,1917 By Matching Biggest Common Factor Method

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Factors of 1917

List of positive integer factors of 1917 that divides 1917 without a remainder.

1,3,9,27,71,213,639,1917

Greatest Common Factor

We found the factors 1800,1917 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,1917 is 9.

Lets's calculate LCM of 435,296

Given numbers has no common factors except 1. So, there LCM is their product i.e 128760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/128760

Therefore, the GCF of Fractions 1800/435,1917/296 is 9/128760

Least Common Multiple of 435,296 with GCF Formula

Least Common Multiple of 435,296 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 435,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,296) = 1

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

GCF(435,296) x common factors =1 x 1 = 1

LCM(435,296) = ( 435 × 296 ) / 1

LCM(435,296) = 128760 / 1

LCM(435,296) = 128760


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 1800/435, 1917/296

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 1800/435, 1917/296?

Answer: GCF of Numerators as per given numbers 1800/435, 1917/296 is

GCF of Numerators i.e. for 1800,1917 is 9

LCM of denominators i.e. for 435,296 is 128760.

Thus, GCF of Fractions is 9/128760.Finally, GCF of Fractions for 1800/435, 1917/296 is 9/128760.