GCD of 87, 36, 11, 83 Calculator

Given Input numbers are 87, 36, 11, 83

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

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 11 :

The positive integer divisors of 11 that completely divides 11 are.

1, 11

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

GCD of numbers is the greatest common divisor

So, the GCD (87, 36, 11, 83) = 1.

Given numbers are 87, 36, 11, 83

The list of prime factors of all numbers are

Prime factors of 87 are 3 x 29

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 11 are 11

Prime factors of 83 are 83

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 87, 36, 11, 83

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

Apply this formula for all numbers.

Step1:

LCM(87, 36) = 1044

GCD(87, 36) = ( 87 x 36 ) / 1044

= 87 / 36

= 87

Step2:

LCM(3, 11) = 33

GCD(3, 11) = ( 3 x 11 ) / 33

= 3 / 11

= 3

Step3:

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

= 1 / 83

= 1

So, Greatest Common Divisor of 87, 36, 11, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 56, 90, 54
• GCD of 31, 30, 96, 27
• GCD of 44, 37, 43, 74
• GCD of 16, 54, 68, 96
• GCD of 98, 69, 49, 17

Given numbers are 87, 36, 11, 83
The greatest common divisor of numbers 87, 36, 11, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 87, 36, 11, 83 is 1.

1. What is the GCD of 87, 36, 11, 83?

GCD of given numbers 87, 36, 11, 83 is 1

2. How to calculate the greatest common divisor of 87, 36, 11, 83?

We can find the highest common divisor of 87, 36, 11, 83 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 87, 36, 11, 83 i.e 1.

3. How can I use the GCD of 87, 36, 11, 83Calculator?

Out the numbers 87, 36, 11, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.