Greatest Common Factor of 483/1956, 368/5980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/1956, 368/5980

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 483/1956,368/5980

Given fractions are 483/1956,368/5980

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 483,368

Greatest Common Factor of Numerators i.e. GCF of 483,368 is 23 .

LCM of Denominators means LCM of 1956,5980 as per the given fractions.

LCM of 1956,5980 is 2924220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,368

GCF of Fractions 483/1956,368/5980 is 23/2924220

23 483, 368
21, 16

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 483,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,368 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 483,368 . The biggest common factor number is the GCF number.
So the greatest common factor 483,368 is 23.

Lets's calculate LCM of 1956,5980

2 1956, 5980
2 978, 2990
489, 1495

∴ So the LCM of the given numbers is 2 x 2 x 489 x 1495 = 2924220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2924220

Therefore, the GCF of Fractions 483/1956,368/5980 is 23/2924220

Least Common Multiple of 1956,5980 with GCF Formula

Least Common Multiple of 1956,5980 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 1956,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1956,5980) = 4

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

GCF(1956,5980) x common factors =4 x 1 = 4

LCM(1956,5980) = ( 1956 × 5980 ) / 4

LCM(1956,5980) = 11696880 / 4

LCM(1956,5980) = 2924220


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 483/1956, 368/5980

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 483/1956, 368/5980?

Answer: GCF of Numerators as per given numbers 483/1956, 368/5980 is

GCF of Numerators i.e. for 483,368 is 23

LCM of denominators i.e. for 1956,5980 is 2924220.

Thus, GCF of Fractions is 23/2924220.Finally, GCF of Fractions for 483/1956, 368/5980 is 23/2924220.