GCD of 420, 567, 879, 231 Calculator

Given Input numbers are 420, 567, 879, 231

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

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (420, 567, 879, 231) = 3.

Given numbers are 420, 567, 879, 231

The list of prime factors of all numbers are

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

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 879 are 3 x 293

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 420, 567, 879, 231 is 3.

Given numbers are 420, 567, 879, 231

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

Apply this formula for all numbers.

Step1:

LCM(420, 567) = 11340

GCD(420, 567) = ( 420 x 567 ) / 11340

= 420 / 567

= 420

Step2:

LCM(21, 879) = 6153

GCD(21, 879) = ( 21 x 879 ) / 6153

= 21 / 879

= 21

Step3:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

So, Greatest Common Divisor of 420, 567, 879, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 776, 275, 630
• GCD of 302, 191, 179, 186
• GCD of 966, 270, 116, 422
• GCD of 165, 692, 356, 902
• GCD of 752, 703, 897, 156

Given numbers are 420, 567, 879, 231
The greatest common divisor of numbers 420, 567, 879, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 567, 879, 231 is 3.

1. What is the GCD of 420, 567, 879, 231?

GCD of given numbers 420, 567, 879, 231 is 3

2. How to calculate the greatest common divisor of 420, 567, 879, 231?

We can find the highest common divisor of 420, 567, 879, 231 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 420, 567, 879, 231 i.e 3.

3. How can I use the GCD of 420, 567, 879, 231Calculator?

Out the numbers 420, 567, 879, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.