Greatest Common Factor of 4650/369, 4636/3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4650/369, 4636/3920

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 4650/369,4636/3920

Given fractions are 4650/369,4636/3920

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 4650,4636

Greatest Common Factor of Numerators i.e. GCF of 4650,4636 is 2 .

LCM of Denominators means LCM of 369,3920 as per the given fractions.

LCM of 369,3920 is 1446480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4650,4636

GCF of Fractions 4650/369,4636/3920 is 2/1446480

2 4650, 4636
2325, 2318

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4650,4636 By Matching Biggest Common Factor Method

Greatest Common Factor of 4650,4636 By Matching Biggest Common Factor Method

Factors of 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 4650,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 4650,4636 is 2.

Lets's calculate LCM of 369,3920

Given numbers has no common factors except 1. So, there LCM is their product i.e 1446480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1446480

Therefore, the GCF of Fractions 4650/369,4636/3920 is 2/1446480

Least Common Multiple of 369,3920 with GCF Formula

Least Common Multiple of 369,3920 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 369,3920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,3920) = 1

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

GCF(369,3920) x common factors =1 x 1 = 1

LCM(369,3920) = ( 369 × 3920 ) / 1

LCM(369,3920) = 1446480 / 1

LCM(369,3920) = 1446480


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 4650/369, 4636/3920

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 4650/369, 4636/3920?

Answer: GCF of Numerators as per given numbers 4650/369, 4636/3920 is

GCF of Numerators i.e. for 4650,4636 is 2

LCM of denominators i.e. for 369,3920 is 1446480.

Thus, GCF of Fractions is 2/1446480.Finally, GCF of Fractions for 4650/369, 4636/3920 is 2/1446480.