GCD of 36, 53, 71, 16 Calculator

Given Input numbers are 36, 53, 71, 16

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

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 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

GCD of numbers is the greatest common divisor

So, the GCD (36, 53, 71, 16) = 1.

Given numbers are 36, 53, 71, 16

The list of prime factors of all numbers are

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

Prime factors of 53 are 53

Prime factors of 71 are 71

Prime factors of 16 are 2 x 2 x 2 x 2

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

Given numbers are 36, 53, 71, 16

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

Apply this formula for all numbers.

Step1:

LCM(36, 53) = 1908

GCD(36, 53) = ( 36 x 53 ) / 1908

= 36 / 53

= 36

Step2:

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

= 1 / 71

= 1

Step3:

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

= 1 / 16

= 1

So, Greatest Common Divisor of 36, 53, 71, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 53, 27, 39
• GCD of 55, 51, 37, 53
• GCD of 36, 43, 50, 74
• GCD of 22, 78, 32, 63
• GCD of 47, 56, 58, 48

Given numbers are 36, 53, 71, 16
The greatest common divisor of numbers 36, 53, 71, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 36, 53, 71, 16 is 1.

1. What is the GCD of 36, 53, 71, 16?

GCD of given numbers 36, 53, 71, 16 is 1

2. How to calculate the greatest common divisor of 36, 53, 71, 16?

We can find the highest common divisor of 36, 53, 71, 16 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 36, 53, 71, 16 i.e 1.

3. How can I use the GCD of 36, 53, 71, 16Calculator?

Out the numbers 36, 53, 71, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.