GCD of 38, 48, 72, 22 Calculator

Given Input numbers are 38, 48, 72, 22

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

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 (38, 48, 72, 22) = 2.

Given numbers are 38, 48, 72, 22

The list of prime factors of all numbers are

Prime factors of 38 are 2 x 19

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 22 are 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 38, 48, 72, 22 is 2.

Given numbers are 38, 48, 72, 22

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

Apply this formula for all numbers.

Step1:

LCM(38, 48) = 912

GCD(38, 48) = ( 38 x 48 ) / 912

= 38 / 48

= 38

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2

So, Greatest Common Divisor of 38, 48, 72, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 25, 63, 22
• GCD of 97, 49, 70, 35
• GCD of 13, 64, 26, 54
• GCD of 65, 37, 70, 45
• GCD of 78, 39, 90, 27

Given numbers are 38, 48, 72, 22
The greatest common divisor of numbers 38, 48, 72, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 38, 48, 72, 22 is 2.

1. What is the GCD of 38, 48, 72, 22?

GCD of given numbers 38, 48, 72, 22 is 2

2. How to calculate the greatest common divisor of 38, 48, 72, 22?

We can find the highest common divisor of 38, 48, 72, 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 38, 48, 72, 22 i.e 2.

3. How can I use the GCD of 38, 48, 72, 22Calculator?

Out the numbers 38, 48, 72, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.