GCD of 86, 46, 66, 64 Calculator

Given Input numbers are 86, 46, 66, 64

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

Divisors of 86

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

1, 2, 43, 86

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Greatest Common Divisior

We found the divisors of 86, 46, 66, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 46, 66, 64 is 2.

Therefore, GCD of numbers 86, 46, 66, 64 is 2

Given Input Data is 86, 46, 66, 64

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 46 is 2 x 23

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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(86, 46) = 1978

GCD(86, 46) = ( 86 x 46 ) / 1978

GCD(86, 46) = 3956 / 1978

GCD(86, 46) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

GCD of 86, 46, 66, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 30, 44, 52
• GCD of 78, 38, 45, 94
• GCD of 57, 14, 98, 21
• GCD of 44, 78, 18, 65
• GCD of 55, 93, 85, 83

1. What is the GCD of 86, 46, 66, 64?

GCD of 86, 46, 66, 64 is 2

2. Where do I get the detailed procedure to find GCD of 86, 46, 66, 64?

You can find a detailed procedure to find GCD of 86, 46, 66, 64 on our page.

3. How to find GCD of 86, 46, 66, 64 on a calculator?

You can find the GCD of 86, 46, 66, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.