GCD of 420, 666, 492, 891 Calculator

Given Input numbers are 420, 666, 492, 891

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 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (420, 666, 492, 891) = 3.

Given numbers are 420, 666, 492, 891

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 666 are 2 x 3 x 3 x 37

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 420, 666, 492, 891 is 3.

Given numbers are 420, 666, 492, 891

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

Apply this formula for all numbers.

Step1:

LCM(420, 666) = 46620

GCD(420, 666) = ( 420 x 666 ) / 46620

= 420 / 666

= 420

Step2:

LCM(6, 492) = 492

GCD(6, 492) = ( 6 x 492 ) / 492

= 6 / 492

= 6

Step3:

LCM(6, 891) = 1782

GCD(6, 891) = ( 6 x 891 ) / 1782

= 6 / 891

= 6

So, Greatest Common Divisor of 420, 666, 492, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 668, 571, 603
• GCD of 757, 377, 203, 974
• GCD of 796, 802, 816, 283
• GCD of 180, 772, 919, 922
• GCD of 916, 535, 142, 514

Given numbers are 420, 666, 492, 891
The greatest common divisor of numbers 420, 666, 492, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 666, 492, 891 is 3.

1. What is the GCD of 420, 666, 492, 891?

GCD of given numbers 420, 666, 492, 891 is 3

2. How to calculate the greatest common divisor of 420, 666, 492, 891?

We can find the highest common divisor of 420, 666, 492, 891 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, 666, 492, 891 i.e 3.

3. How can I use the GCD of 420, 666, 492, 891Calculator?

Out the numbers 420, 666, 492, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.