GCD of 66, 86, 40, 52 Calculator

Given Input numbers are 66, 86, 40, 52

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 66, 86, 40, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 86, 40, 52 is 2.

Therefore, GCD of numbers 66, 86, 40, 52 is 2

Given Input Data is 66, 86, 40, 52

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 86 is 2 x 43

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 52 is 2 x 2 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(66, 86) = 2838

GCD(66, 86) = ( 66 x 86 ) / 2838

GCD(66, 86) = 5676 / 2838

GCD(66, 86) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

GCD of 66, 86, 40, 52 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 82, 10, 87
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• GCD of 16, 57, 93, 29
• GCD of 64, 94, 87, 41
• GCD of 96, 95, 89, 82

1. What is the GCD of 66, 86, 40, 52?

GCD of 66, 86, 40, 52 is 2

2. Where do I get the detailed procedure to find GCD of 66, 86, 40, 52?

You can find a detailed procedure to find GCD of 66, 86, 40, 52 on our page.

3. How to find GCD of 66, 86, 40, 52 on a calculator?

You can find the GCD of 66, 86, 40, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.