GCD of 22, 31, 24, 15 Calculator

Given Input numbers are 22, 31, 24, 15

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

Divisors of 22 :

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

1, 2, 11, 22

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 15 :

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

1, 3, 5, 15

GCD of numbers is the greatest common divisor

So, the GCD (22, 31, 24, 15) = 1.

Given numbers are 22, 31, 24, 15

The list of prime factors of all numbers are

Prime factors of 22 are 2 x 11

Prime factors of 31 are 31

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 15 are 3 x 5

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

Given numbers are 22, 31, 24, 15

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

Apply this formula for all numbers.

Step1:

LCM(22, 31) = 682

GCD(22, 31) = ( 22 x 31 ) / 682

= 22 / 31

= 22

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

= 1 / 15

= 1

So, Greatest Common Divisor of 22, 31, 24, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 53, 12, 59
• GCD of 54, 71, 92, 52
• GCD of 88, 53, 25, 37
• GCD of 85, 74, 85, 85
• GCD of 21, 51, 83, 51

Given numbers are 22, 31, 24, 15
The greatest common divisor of numbers 22, 31, 24, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 22, 31, 24, 15 is 1.

1. What is the GCD of 22, 31, 24, 15?

GCD of given numbers 22, 31, 24, 15 is 1

2. How to calculate the greatest common divisor of 22, 31, 24, 15?

We can find the highest common divisor of 22, 31, 24, 15 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 22, 31, 24, 15 i.e 1.

3. How can I use the GCD of 22, 31, 24, 15Calculator?

Out the numbers 22, 31, 24, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.