Greatest Common Factor of 4232/65, 4036/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4232/65, 4036/422

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 4232/65,4036/422

Given fractions are 4232/65,4036/422

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 4232,4036

Greatest Common Factor of Numerators i.e. GCF of 4232,4036 is 4 .

LCM of Denominators means LCM of 65,422 as per the given fractions.

LCM of 65,422 is 27430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4232,4036

GCF of Fractions 4232/65,4036/422 is 4/27430

2 4232, 4036
2 2116, 2018
1058, 1009

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

Greatest Common Factor of 4232,4036 By Matching Biggest Common Factor Method

Greatest Common Factor of 4232,4036 By Matching Biggest Common Factor Method

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1,2,4,8,23,46,92,184,529,1058,2116,4232

Factors of 4036

List of positive integer factors of 4036 that divides 4036 without a remainder.

1,2,4,1009,2018,4036

Greatest Common Factor

We found the factors 4232,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 4232,4036 is 4.

Lets's calculate LCM of 65,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 27430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/27430

Therefore, the GCF of Fractions 4232/65,4036/422 is 4/27430

Least Common Multiple of 65,422 with GCF Formula

Least Common Multiple of 65,422 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 65,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,422) = 1

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

GCF(65,422) x common factors =1 x 1 = 1

LCM(65,422) = ( 65 × 422 ) / 1

LCM(65,422) = 27430 / 1

LCM(65,422) = 27430


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 4232/65, 4036/422

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 4232/65, 4036/422?

Answer: GCF of Numerators as per given numbers 4232/65, 4036/422 is

GCF of Numerators i.e. for 4232,4036 is 4

LCM of denominators i.e. for 65,422 is 27430.

Thus, GCF of Fractions is 4/27430.Finally, GCF of Fractions for 4232/65, 4036/422 is 4/27430.