GCD of 15, 82, 74, 22 Calculator

Given Input numbers are 15, 82, 74, 22

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

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 82 :

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

1, 2, 41, 82

Divisors of 74 :

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

1, 2, 37, 74

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 (15, 82, 74, 22) = 1.

Given numbers are 15, 82, 74, 22

The list of prime factors of all numbers are

Prime factors of 15 are 3 x 5

Prime factors of 82 are 2 x 41

Prime factors of 74 are 2 x 37

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 15, 82, 74, 22

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

Apply this formula for all numbers.

Step1:

LCM(15, 82) = 1230

GCD(15, 82) = ( 15 x 82 ) / 1230

= 15 / 82

= 15

Step2:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1

Step3:

LCM(1, 22) = 22

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

= 1 / 22

= 1

So, Greatest Common Divisor of 15, 82, 74, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 76, 52, 23
• GCD of 79, 97, 82, 77
• GCD of 56, 47, 51, 81
• GCD of 13, 68, 53, 36
• GCD of 25, 96, 80, 89

Given numbers are 15, 82, 74, 22
The greatest common divisor of numbers 15, 82, 74, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 15, 82, 74, 22 is 1.

1. What is the GCD of 15, 82, 74, 22?

GCD of given numbers 15, 82, 74, 22 is 1

2. How to calculate the greatest common divisor of 15, 82, 74, 22?

We can find the highest common divisor of 15, 82, 74, 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 15, 82, 74, 22 i.e 1.

3. How can I use the GCD of 15, 82, 74, 22Calculator?

Out the numbers 15, 82, 74, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.