GCD of 16, 74, 47, 22 Calculator

Given Input numbers are 16, 74, 47, 22

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

Divisors of 16 :

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

1, 2, 4, 8, 16

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 47 :

The positive integer divisors of 47 that completely divides 47 are.

1, 47

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

GCD of numbers is the greatest common divisor

So, the GCD (16, 74, 47, 22) = 1.

Given numbers are 16, 74, 47, 22

The list of prime factors of all numbers are

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

Prime factors of 74 are 2 x 37

Prime factors of 47 are 47

Prime factors of 22 are 2 x 11

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

Given numbers are 16, 74, 47, 22

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

Apply this formula for all numbers.

Step1:

LCM(16, 74) = 592

GCD(16, 74) = ( 16 x 74 ) / 592

= 16 / 74

= 16

Step2:

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

= 2 / 47

= 2

Step3:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1

So, Greatest Common Divisor of 16, 74, 47, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 40, 93, 87
• GCD of 21, 44, 81, 14
• GCD of 45, 37, 85, 66
• GCD of 49, 80, 86, 75
• GCD of 73, 53, 24, 53

Given numbers are 16, 74, 47, 22
The greatest common divisor of numbers 16, 74, 47, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 16, 74, 47, 22 is 1.

1. What is the GCD of 16, 74, 47, 22?

GCD of given numbers 16, 74, 47, 22 is 1

2. How to calculate the greatest common divisor of 16, 74, 47, 22?

We can find the highest common divisor of 16, 74, 47, 22 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 16, 74, 47, 22 i.e 1.

3. How can I use the GCD of 16, 74, 47, 22Calculator?

Out the numbers 16, 74, 47, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.