Greatest Common Factor of 3211/65, 4824/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3211/65, 4824/642

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 3211/65,4824/642

Given fractions are 3211/65,4824/642

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 3211,4824

Greatest Common Factor of Numerators i.e. GCF of 3211,4824 is 1 .

LCM of Denominators means LCM of 65,642 as per the given fractions.

LCM of 65,642 is 41730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3211,4824

GCF of Fractions 3211/65,4824/642 is 1/41730

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

Greatest Common Factor of 3211,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 3211,4824 By Matching Biggest Common Factor Method

Factors of 3211

List of positive integer factors of 3211 that divides 3211 without a remainder.

1,13,19,169,247,3211

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

Greatest Common Factor

We found the factors 3211,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 3211,4824 is 1.

Lets's calculate LCM of 65,642

Given numbers has no common factors except 1. So, there LCM is their product i.e 41730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41730

Therefore, the GCF of Fractions 3211/65,4824/642 is 1/41730

Least Common Multiple of 65,642 with GCF Formula

Least Common Multiple of 65,642 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 65,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,642) = 1

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

GCF(65,642) x common factors =1 x 1 = 1

LCM(65,642) = ( 65 × 642 ) / 1

LCM(65,642) = 41730 / 1

LCM(65,642) = 41730


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 3211/65, 4824/642

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 3211/65, 4824/642?

Answer: GCF of Numerators as per given numbers 3211/65, 4824/642 is

GCF of Numerators i.e. for 3211,4824 is 1

LCM of denominators i.e. for 65,642 is 41730.

Thus, GCF of Fractions is 1/41730.Finally, GCF of Fractions for 3211/65, 4824/642 is 1/41730.