GCD of 420, 236, 306, 656 Calculator

Given Input numbers are 420, 236, 306, 656

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 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (420, 236, 306, 656) = 2.

Given numbers are 420, 236, 306, 656

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 236 are 2 x 2 x 59

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 420, 236, 306, 656 is 2.

Given numbers are 420, 236, 306, 656

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

Apply this formula for all numbers.

Step1:

LCM(420, 236) = 24780

GCD(420, 236) = ( 420 x 236 ) / 24780

= 420 / 236

= 420

Step2:

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

= 4 / 306

= 4

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 420, 236, 306, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 745, 261, 502
• GCD of 172, 836, 429, 804
• GCD of 129, 347, 950, 589
• GCD of 820, 828, 706, 521
• GCD of 495, 931, 339, 325

Given numbers are 420, 236, 306, 656
The greatest common divisor of numbers 420, 236, 306, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 236, 306, 656 is 2.

1. What is the GCD of 420, 236, 306, 656?

GCD of given numbers 420, 236, 306, 656 is 2

2. How to calculate the greatest common divisor of 420, 236, 306, 656?

We can find the highest common divisor of 420, 236, 306, 656 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, 236, 306, 656 i.e 2.

3. How can I use the GCD of 420, 236, 306, 656Calculator?

Out the numbers 420, 236, 306, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.