Greatest Common Factor of 5914/36, 1631/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5914/36, 1631/978

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 5914/36,1631/978

Given fractions are 5914/36,1631/978

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 5914,1631

Greatest Common Factor of Numerators i.e. GCF of 5914,1631 is 1 .

LCM of Denominators means LCM of 36,978 as per the given fractions.

LCM of 36,978 is 5868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5914,1631

GCF of Fractions 5914/36,1631/978 is 1/5868

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

Greatest Common Factor of 5914,1631 By Matching Biggest Common Factor Method

Greatest Common Factor of 5914,1631 By Matching Biggest Common Factor Method

Factors of 5914

List of positive integer factors of 5914 that divides 5914 without a remainder.

1,2,2957,5914

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Greatest Common Factor

We found the factors 5914,1631 . The biggest common factor number is the GCF number.
So the greatest common factor 5914,1631 is 1.

Lets's calculate LCM of 36,978

2 36, 978
3 18, 489
6, 163

∴ So the LCM of the given numbers is 2 x 3 x 6 x 163 = 5868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5868

Therefore, the GCF of Fractions 5914/36,1631/978 is 1/5868

Least Common Multiple of 36,978 with GCF Formula

Least Common Multiple of 36,978 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 36,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,978) = 6

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

GCF(36,978) x common factors =6 x 1 = 6

LCM(36,978) = ( 36 × 978 ) / 6

LCM(36,978) = 35208 / 6

LCM(36,978) = 5868


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 5914/36, 1631/978

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 5914/36, 1631/978?

Answer: GCF of Numerators as per given numbers 5914/36, 1631/978 is

GCF of Numerators i.e. for 5914,1631 is 1

LCM of denominators i.e. for 36,978 is 5868.

Thus, GCF of Fractions is 1/5868.Finally, GCF of Fractions for 5914/36, 1631/978 is 1/5868.