GCD of 76, 18, 58, 64 Calculator

Given Input numbers are 76, 18, 58, 64

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

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 18 :

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

1, 2, 3, 6, 9, 18

Divisors of 58 :

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

1, 2, 29, 58

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

GCD of numbers is the greatest common divisor

So, the GCD (76, 18, 58, 64) = 2.

Given numbers are 76, 18, 58, 64

The list of prime factors of all numbers are

Prime factors of 76 are 2 x 2 x 19

Prime factors of 18 are 2 x 3 x 3

Prime factors of 58 are 2 x 29

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 76, 18, 58, 64 is 2.

Given numbers are 76, 18, 58, 64

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

Apply this formula for all numbers.

Step1:

LCM(76, 18) = 684

GCD(76, 18) = ( 76 x 18 ) / 684

= 76 / 18

= 76

Step2:

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

= 2 / 58

= 2

Step3:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2

So, Greatest Common Divisor of 76, 18, 58, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 24, 93, 34
• GCD of 25, 12, 69, 34
• GCD of 15, 81, 47, 35
• GCD of 27, 84, 82, 42
• GCD of 17, 90, 57, 27

Given numbers are 76, 18, 58, 64
The greatest common divisor of numbers 76, 18, 58, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 76, 18, 58, 64 is 2.

1. What is the GCD of 76, 18, 58, 64?

GCD of given numbers 76, 18, 58, 64 is 2

2. How to calculate the greatest common divisor of 76, 18, 58, 64?

We can find the highest common divisor of 76, 18, 58, 64 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 76, 18, 58, 64 i.e 2.

3. How can I use the GCD of 76, 18, 58, 64Calculator?

Out the numbers 76, 18, 58, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.