GCD of 420, 261, 159, 936 Calculator

Given Input numbers are 420, 261, 159, 936

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (420, 261, 159, 936) = 3.

Given numbers are 420, 261, 159, 936

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 261 are 3 x 3 x 29

Prime factors of 159 are 3 x 53

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 420, 261, 159, 936 is 3.

Given numbers are 420, 261, 159, 936

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

Apply this formula for all numbers.

Step1:

LCM(420, 261) = 36540

GCD(420, 261) = ( 420 x 261 ) / 36540

= 420 / 261

= 420

Step2:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

Step3:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

So, Greatest Common Divisor of 420, 261, 159, 936 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 802, 354, 395
• GCD of 427, 486, 954, 445
• GCD of 641, 797, 181, 141
• GCD of 234, 736, 593, 229
• GCD of 400, 386, 802, 879

Given numbers are 420, 261, 159, 936
The greatest common divisor of numbers 420, 261, 159, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 261, 159, 936 is 3.

1. What is the GCD of 420, 261, 159, 936?

GCD of given numbers 420, 261, 159, 936 is 3

2. How to calculate the greatest common divisor of 420, 261, 159, 936?

We can find the highest common divisor of 420, 261, 159, 936 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, 261, 159, 936 i.e 3.

3. How can I use the GCD of 420, 261, 159, 936Calculator?

Out the numbers 420, 261, 159, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.