GCD of 20, 28, 84, 42 Calculator

Given Input numbers are 20, 28, 84, 42

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

Divisors of 20 :

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

1, 2, 4, 5, 10, 20

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

GCD of numbers is the greatest common divisor

So, the GCD (20, 28, 84, 42) = 2.

Given numbers are 20, 28, 84, 42

The list of prime factors of all numbers are

Prime factors of 20 are 2 x 2 x 5

Prime factors of 28 are 2 x 2 x 7

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 20, 28, 84, 42 is 2.

Given numbers are 20, 28, 84, 42

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

Apply this formula for all numbers.

Step1:

LCM(20, 28) = 140

GCD(20, 28) = ( 20 x 28 ) / 140

= 20 / 28

= 20

Step2:

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

= 4 / 84

= 4

Step3:

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

= 4 / 42

= 4

So, Greatest Common Divisor of 20, 28, 84, 42 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 45, 65, 50
• GCD of 25, 87, 35, 79
• GCD of 56, 58, 58, 68
• GCD of 58, 80, 71, 60
• GCD of 60, 31, 91, 65

Given numbers are 20, 28, 84, 42
The greatest common divisor of numbers 20, 28, 84, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 20, 28, 84, 42 is 2.

1. What is the GCD of 20, 28, 84, 42?

GCD of given numbers 20, 28, 84, 42 is 2

2. How to calculate the greatest common divisor of 20, 28, 84, 42?

We can find the highest common divisor of 20, 28, 84, 42 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 20, 28, 84, 42 i.e 2.

3. How can I use the GCD of 20, 28, 84, 42Calculator?

Out the numbers 20, 28, 84, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.