Greatest Common Factor of 1437/897, 3116/1833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1437/897, 3116/1833

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 1437/897,3116/1833

Given fractions are 1437/897,3116/1833

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 1437,3116

Greatest Common Factor of Numerators i.e. GCF of 1437,3116 is 1 .

LCM of Denominators means LCM of 897,1833 as per the given fractions.

LCM of 897,1833 is 42159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1437,3116

GCF of Fractions 1437/897,3116/1833 is 1/42159

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

Greatest Common Factor of 1437,3116 By Matching Biggest Common Factor Method

Greatest Common Factor of 1437,3116 By Matching Biggest Common Factor Method

Factors of 1437

List of positive integer factors of 1437 that divides 1437 without a remainder.

1,3,479,1437

Factors of 3116

List of positive integer factors of 3116 that divides 3116 without a remainder.

1,2,4,19,38,41,76,82,164,779,1558,3116

Greatest Common Factor

We found the factors 1437,3116 . The biggest common factor number is the GCF number.
So the greatest common factor 1437,3116 is 1.

Lets's calculate LCM of 897,1833

3 897, 1833
13 299, 611
23, 47

∴ So the LCM of the given numbers is 3 x 13 x 23 x 47 = 42159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42159

Therefore, the GCF of Fractions 1437/897,3116/1833 is 1/42159

Least Common Multiple of 897,1833 with GCF Formula

Least Common Multiple of 897,1833 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 897,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,1833) = 39

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

GCF(897,1833) x common factors =39 x 1 = 39

LCM(897,1833) = ( 897 × 1833 ) / 39

LCM(897,1833) = 1644201 / 39

LCM(897,1833) = 42159


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 1437/897, 3116/1833

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 1437/897, 3116/1833?

Answer: GCF of Numerators as per given numbers 1437/897, 3116/1833 is

GCF of Numerators i.e. for 1437,3116 is 1

LCM of denominators i.e. for 897,1833 is 42159.

Thus, GCF of Fractions is 1/42159.Finally, GCF of Fractions for 1437/897, 3116/1833 is 1/42159.