GCD of 84, 48, 30, 51 Calculator

Given Input numbers are 84, 48, 30, 51

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

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 48 :

The positive integer divisors of 48 that completely divides 48 are.

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

Divisors of 30 :

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

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

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

GCD of numbers is the greatest common divisor

So, the GCD (84, 48, 30, 51) = 3.

Given numbers are 84, 48, 30, 51

The list of prime factors of all numbers are

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

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 30 are 2 x 3 x 5

Prime factors of 51 are 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 84, 48, 30, 51 is 3.

Given numbers are 84, 48, 30, 51

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

Apply this formula for all numbers.

Step1:

LCM(84, 48) = 336

GCD(84, 48) = ( 84 x 48 ) / 336

= 84 / 48

= 84

Step2:

LCM(12, 30) = 60

GCD(12, 30) = ( 12 x 30 ) / 60

= 12 / 30

= 12

Step3:

LCM(6, 51) = 102

GCD(6, 51) = ( 6 x 51 ) / 102

= 6 / 51

= 6

So, Greatest Common Divisor of 84, 48, 30, 51 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 88, 28, 78
• GCD of 27, 80, 43, 55
• GCD of 36, 35, 29, 47
• GCD of 58, 72, 87, 98
• GCD of 73, 22, 56, 44

Given numbers are 84, 48, 30, 51
The greatest common divisor of numbers 84, 48, 30, 51 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 84, 48, 30, 51 is 3.

1. What is the GCD of 84, 48, 30, 51?

GCD of given numbers 84, 48, 30, 51 is 3

2. How to calculate the greatest common divisor of 84, 48, 30, 51?

We can find the highest common divisor of 84, 48, 30, 51 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 84, 48, 30, 51 i.e 3.

3. How can I use the GCD of 84, 48, 30, 51Calculator?

Out the numbers 84, 48, 30, 51 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.