GCD of 30, 50, 64, 20 Calculator

Given Input numbers are 30, 50, 64, 20

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

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 64 :

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

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

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (30, 50, 64, 20) = 2.

Given numbers are 30, 50, 64, 20

The list of prime factors of all numbers are

Prime factors of 30 are 2 x 3 x 5

Prime factors of 50 are 2 x 5 x 5

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

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 30, 50, 64, 20 is 2.

Given numbers are 30, 50, 64, 20

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

Apply this formula for all numbers.

Step1:

LCM(30, 50) = 150

GCD(30, 50) = ( 30 x 50 ) / 150

= 30 / 50

= 30

Step2:

LCM(10, 64) = 320

GCD(10, 64) = ( 10 x 64 ) / 320

= 10 / 64

= 10

Step3:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

So, Greatest Common Divisor of 30, 50, 64, 20 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 22, 46, 78
• GCD of 44, 57, 55, 69
• GCD of 36, 37, 11, 85
• GCD of 25, 54, 85, 47
• GCD of 24, 85, 46, 73

Given numbers are 30, 50, 64, 20
The greatest common divisor of numbers 30, 50, 64, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 30, 50, 64, 20 is 2.

1. What is the GCD of 30, 50, 64, 20?

GCD of given numbers 30, 50, 64, 20 is 2

2. How to calculate the greatest common divisor of 30, 50, 64, 20?

We can find the highest common divisor of 30, 50, 64, 20 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 30, 50, 64, 20 i.e 2.

3. How can I use the GCD of 30, 50, 64, 20Calculator?

Out the numbers 30, 50, 64, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.