Greatest Common Factor of 1914/48, 3609/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1914/48, 3609/404

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 1914/48,3609/404

Given fractions are 1914/48,3609/404

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 1914,3609

Greatest Common Factor of Numerators i.e. GCF of 1914,3609 is 3 .

LCM of Denominators means LCM of 48,404 as per the given fractions.

LCM of 48,404 is 4848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1914,3609

GCF of Fractions 1914/48,3609/404 is 3/4848

3 1914, 3609
638, 1203

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

Greatest Common Factor of 1914,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 1914,3609 By Matching Biggest Common Factor Method

Factors of 1914

List of positive integer factors of 1914 that divides 1914 without a remainder.

1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 1914,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 1914,3609 is 3.

Lets's calculate LCM of 48,404

2 48, 404
2 24, 202
12, 101

∴ So the LCM of the given numbers is 2 x 2 x 12 x 101 = 4848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4848

Therefore, the GCF of Fractions 1914/48,3609/404 is 3/4848

Least Common Multiple of 48,404 with GCF Formula

Least Common Multiple of 48,404 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 48,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,404) = 4

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

GCF(48,404) x common factors =4 x 1 = 4

LCM(48,404) = ( 48 × 404 ) / 4

LCM(48,404) = 19392 / 4

LCM(48,404) = 4848


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 1914/48, 3609/404

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 1914/48, 3609/404?

Answer: GCF of Numerators as per given numbers 1914/48, 3609/404 is

GCF of Numerators i.e. for 1914,3609 is 3

LCM of denominators i.e. for 48,404 is 4848.

Thus, GCF of Fractions is 3/4848.Finally, GCF of Fractions for 1914/48, 3609/404 is 3/4848.