GCD of 58, 90, 38, 16 Calculator

Given Input numbers are 58, 90, 38, 16

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

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 16 :

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

1, 2, 4, 8, 16

GCD of numbers is the greatest common divisor

So, the GCD (58, 90, 38, 16) = 2.

Given numbers are 58, 90, 38, 16

The list of prime factors of all numbers are

Prime factors of 58 are 2 x 29

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 38 are 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 58, 90, 38, 16 is 2.

Given numbers are 58, 90, 38, 16

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

Apply this formula for all numbers.

Step1:

LCM(58, 90) = 2610

GCD(58, 90) = ( 58 x 90 ) / 2610

= 58 / 90

= 58

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

So, Greatest Common Divisor of 58, 90, 38, 16 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 10, 69, 19
• GCD of 35, 24, 72, 88
• GCD of 81, 56, 54, 61
• GCD of 97, 41, 76, 93
• GCD of 61, 54, 95, 65

Given numbers are 58, 90, 38, 16
The greatest common divisor of numbers 58, 90, 38, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 58, 90, 38, 16 is 2.

1. What is the GCD of 58, 90, 38, 16?

GCD of given numbers 58, 90, 38, 16 is 2

2. How to calculate the greatest common divisor of 58, 90, 38, 16?

We can find the highest common divisor of 58, 90, 38, 16 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 58, 90, 38, 16 i.e 2.

3. How can I use the GCD of 58, 90, 38, 16Calculator?

Out the numbers 58, 90, 38, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.