Greatest Common Factor of 4824/656, 1486/5947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4824/656, 1486/5947

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 4824/656,1486/5947

Given fractions are 4824/656,1486/5947

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 4824,1486

Greatest Common Factor of Numerators i.e. GCF of 4824,1486 is 2 .

LCM of Denominators means LCM of 656,5947 as per the given fractions.

LCM of 656,5947 is 3901232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4824,1486

GCF of Fractions 4824/656,1486/5947 is 2/3901232

2 4824, 1486
2412, 743

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

Greatest Common Factor of 4824,1486 By Matching Biggest Common Factor Method

Greatest Common Factor of 4824,1486 By Matching Biggest Common Factor Method

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Factors of 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1,2,743,1486

Greatest Common Factor

We found the factors 4824,1486 . The biggest common factor number is the GCF number.
So the greatest common factor 4824,1486 is 2.

Lets's calculate LCM of 656,5947

Given numbers has no common factors except 1. So, there LCM is their product i.e 3901232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3901232

Therefore, the GCF of Fractions 4824/656,1486/5947 is 2/3901232

Least Common Multiple of 656,5947 with GCF Formula

Least Common Multiple of 656,5947 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 656,5947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,5947) = 1

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

GCF(656,5947) x common factors =1 x 1 = 1

LCM(656,5947) = ( 656 × 5947 ) / 1

LCM(656,5947) = 3901232 / 1

LCM(656,5947) = 3901232


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 4824/656, 1486/5947

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 4824/656, 1486/5947?

Answer: GCF of Numerators as per given numbers 4824/656, 1486/5947 is

GCF of Numerators i.e. for 4824,1486 is 2

LCM of denominators i.e. for 656,5947 is 3901232.

Thus, GCF of Fractions is 2/3901232.Finally, GCF of Fractions for 4824/656, 1486/5947 is 2/3901232.