GCD of 427, 189, 84 Calculator

Given Input numbers are 427, 189, 84

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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

GCD of numbers is the greatest common divisor

So, the GCD (427, 189, 84) = 7.

Given numbers are 427, 189, 84

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 189 are 3 x 3 x 3 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 427, 189, 84 is 7.

Given numbers are 427, 189, 84

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

Apply this formula for all numbers.

Step1:

LCM(427, 189) = 11529

GCD(427, 189) = ( 427 x 189 ) / 11529

= 427 / 189

= 427

Step2:

LCM(7, 84) = 84

GCD(7, 84) = ( 7 x 84 ) / 84

= 7 / 84

= 7

So, Greatest Common Divisor of 427, 189, 84 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 191, 76
• GCD of 284, 326, 80
• GCD of 543, 496, 92
• GCD of 124, 765, 64
• GCD of 590, 654, 26

Given numbers are 427, 189, 84
The greatest common divisor of numbers 427, 189, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 189, 84 is 7.

1. What is the GCD of 427, 189, 84?

GCD of given numbers 427, 189, 84 is 7

2. How to calculate the greatest common divisor of 427, 189, 84?

We can find the highest common divisor of 427, 189, 84 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 427, 189, 84 i.e 7.

3. How can I use the GCD of 427, 189, 84Calculator?

Out the numbers 427, 189, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.