Greatest Common Factor of 3272/322, 8188/1630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3272/322, 8188/1630

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 3272/322,8188/1630

Given fractions are 3272/322,8188/1630

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 3272,8188

Greatest Common Factor of Numerators i.e. GCF of 3272,8188 is 4 .

LCM of Denominators means LCM of 322,1630 as per the given fractions.

LCM of 322,1630 is 262430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3272,8188

GCF of Fractions 3272/322,8188/1630 is 4/262430

2 3272, 8188
2 1636, 4094
818, 2047

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3272,8188 By Matching Biggest Common Factor Method

Greatest Common Factor of 3272,8188 By Matching Biggest Common Factor Method

Factors of 3272

List of positive integer factors of 3272 that divides 3272 without a remainder.

1,2,4,8,409,818,1636,3272

Factors of 8188

List of positive integer factors of 8188 that divides 8188 without a remainder.

1,2,4,23,46,89,92,178,356,2047,4094,8188

Greatest Common Factor

We found the factors 3272,8188 . The biggest common factor number is the GCF number.
So the greatest common factor 3272,8188 is 4.

Lets's calculate LCM of 322,1630

2 322, 1630
161, 815

∴ So the LCM of the given numbers is 2 x 161 x 815 = 262430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/262430

Therefore, the GCF of Fractions 3272/322,8188/1630 is 4/262430

Least Common Multiple of 322,1630 with GCF Formula

Least Common Multiple of 322,1630 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 322,1630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,1630) = 2

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

GCF(322,1630) x common factors =2 x 1 = 2

LCM(322,1630) = ( 322 × 1630 ) / 2

LCM(322,1630) = 524860 / 2

LCM(322,1630) = 262430


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 3272/322, 8188/1630

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 3272/322, 8188/1630?

Answer: GCF of Numerators as per given numbers 3272/322, 8188/1630 is

GCF of Numerators i.e. for 3272,8188 is 4

LCM of denominators i.e. for 322,1630 is 262430.

Thus, GCF of Fractions is 4/262430.Finally, GCF of Fractions for 3272/322, 8188/1630 is 4/262430.