GCD of 82, 96, 64, 80 Calculator

Given Input numbers are 82, 96, 64, 80

In the factoring method, we have to find the divisors of all numbers

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

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

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

GCD of numbers is the greatest common divisor

So, the GCD (82, 96, 64, 80) = 2.

Given numbers are 82, 96, 64, 80

The list of prime factors of all numbers are

Prime factors of 82 are 2 x 41

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 82, 96, 64, 80 is 2.

Given numbers are 82, 96, 64, 80

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(82, 96) = 3936

GCD(82, 96) = ( 82 x 96 ) / 3936

= 82 / 96

= 82

Step2:

LCM(2, 64) = 64

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

= 2 / 64

= 2

Step3:

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

= 2 / 80

= 2

So, Greatest Common Divisor of 82, 96, 64, 80 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 13, 55, 98
• GCD of 43, 95, 25, 59
• GCD of 99, 23, 90, 82
• GCD of 64, 86, 51, 66
• GCD of 75, 61, 34, 28

Given numbers are 82, 96, 64, 80
The greatest common divisor of numbers 82, 96, 64, 80 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 82, 96, 64, 80 is 2.

1. What is the GCD of 82, 96, 64, 80?

GCD of given numbers 82, 96, 64, 80 is 2

2. How to calculate the greatest common divisor of 82, 96, 64, 80?

We can find the highest common divisor of 82, 96, 64, 80 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 82, 96, 64, 80 i.e 2.

3. How can I use the GCD of 82, 96, 64, 80Calculator?

Out the numbers 82, 96, 64, 80 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.