GCD of 19, 67, 64, 21 Calculator

Given Input numbers are 19, 67, 64, 21

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

Divisors of 19 :

The positive integer divisors of 19 that completely divides 19 are.

1, 19

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 64 :

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

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

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

GCD of numbers is the greatest common divisor

So, the GCD (19, 67, 64, 21) = 1.

Given numbers are 19, 67, 64, 21

The list of prime factors of all numbers are

Prime factors of 19 are 19

Prime factors of 67 are 67

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

Prime factors of 21 are 3 x 7

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

Given numbers are 19, 67, 64, 21

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

Apply this formula for all numbers.

Step1:

LCM(19, 67) = 1273

GCD(19, 67) = ( 19 x 67 ) / 1273

= 19 / 67

= 19

Step2:

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

= 1 / 64

= 1

Step3:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

So, Greatest Common Divisor of 19, 67, 64, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 15, 93, 17
• GCD of 60, 10, 88, 10
• GCD of 85, 73, 64, 72
• GCD of 68, 15, 39, 30
• GCD of 46, 15, 41, 81

Given numbers are 19, 67, 64, 21
The greatest common divisor of numbers 19, 67, 64, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 19, 67, 64, 21 is 1.

1. What is the GCD of 19, 67, 64, 21?

GCD of given numbers 19, 67, 64, 21 is 1

2. How to calculate the greatest common divisor of 19, 67, 64, 21?

We can find the highest common divisor of 19, 67, 64, 21 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 19, 67, 64, 21 i.e 1.

3. How can I use the GCD of 19, 67, 64, 21Calculator?

Out the numbers 19, 67, 64, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.