GCD of 189, 658, 420 Calculator

Given Input numbers are 189, 658, 420

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

Divisors of 189 :

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

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (189, 658, 420) = 7.

Given numbers are 189, 658, 420

The list of prime factors of all numbers are

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 189, 658, 420 is 7.

Given numbers are 189, 658, 420

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

Apply this formula for all numbers.

Step1:

LCM(189, 658) = 17766

GCD(189, 658) = ( 189 x 658 ) / 17766

= 189 / 658

= 189

Step2:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7

So, Greatest Common Divisor of 189, 658, 420 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 367, 569
• GCD of 868, 120, 441
• GCD of 504, 641, 590
• GCD of 357, 354, 508
• GCD of 159, 671, 470

Given numbers are 189, 658, 420
The greatest common divisor of numbers 189, 658, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 658, 420 is 7.

1. What is the GCD of 189, 658, 420?

GCD of given numbers 189, 658, 420 is 7

2. How to calculate the greatest common divisor of 189, 658, 420?

We can find the highest common divisor of 189, 658, 420 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 189, 658, 420 i.e 7.

3. How can I use the GCD of 189, 658, 420Calculator?

Out the numbers 189, 658, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.