GCD of 57, 84, 72, 42 Calculator

Given Input numbers are 57, 84, 72, 42

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

Divisors of 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

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 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 (57, 84, 72, 42) = 3.

Given numbers are 57, 84, 72, 42

The list of prime factors of all numbers are

Prime factors of 57 are 3 x 19

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

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 57, 84, 72, 42 is 3.

Given numbers are 57, 84, 72, 42

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

Apply this formula for all numbers.

Step1:

LCM(57, 84) = 1596

GCD(57, 84) = ( 57 x 84 ) / 1596

= 57 / 84

= 57

Step2:

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

= 3 / 72

= 3

Step3:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3

So, Greatest Common Divisor of 57, 84, 72, 42 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 29, 51, 38
• GCD of 42, 25, 87, 35
• GCD of 51, 78, 82, 74
• GCD of 83, 32, 79, 71
• GCD of 98, 86, 29, 35

Given numbers are 57, 84, 72, 42
The greatest common divisor of numbers 57, 84, 72, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 57, 84, 72, 42 is 3.

1. What is the GCD of 57, 84, 72, 42?

GCD of given numbers 57, 84, 72, 42 is 3

2. How to calculate the greatest common divisor of 57, 84, 72, 42?

We can find the highest common divisor of 57, 84, 72, 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 57, 84, 72, 42 i.e 3.

3. How can I use the GCD of 57, 84, 72, 42Calculator?

Out the numbers 57, 84, 72, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.