GCD of 58, 96, 74, 18 Calculator

Given Input numbers are 58, 96, 74, 18

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 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 74 :

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

1, 2, 37, 74

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

GCD of numbers is the greatest common divisor

So, the GCD (58, 96, 74, 18) = 2.

Given numbers are 58, 96, 74, 18

The list of prime factors of all numbers are

Prime factors of 58 are 2 x 29

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 74 are 2 x 37

Prime factors of 18 are 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 58, 96, 74, 18 is 2.

Given numbers are 58, 96, 74, 18

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

Apply this formula for all numbers.

Step1:

LCM(58, 96) = 2784

GCD(58, 96) = ( 58 x 96 ) / 2784

= 58 / 96

= 58

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

So, Greatest Common Divisor of 58, 96, 74, 18 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 10, 56, 68
• GCD of 48, 69, 76, 72
• GCD of 59, 51, 79, 19
• GCD of 13, 52, 61, 89
• GCD of 33, 11, 19, 42

Given numbers are 58, 96, 74, 18
The greatest common divisor of numbers 58, 96, 74, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 58, 96, 74, 18 is 2.

1. What is the GCD of 58, 96, 74, 18?

GCD of given numbers 58, 96, 74, 18 is 2

2. How to calculate the greatest common divisor of 58, 96, 74, 18?

We can find the highest common divisor of 58, 96, 74, 18 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, 96, 74, 18 i.e 2.

3. How can I use the GCD of 58, 96, 74, 18Calculator?

Out the numbers 58, 96, 74, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.