GCD of 936, 480, 78, 213 Calculator

Given Input numbers are 936, 480, 78, 213

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

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (936, 480, 78, 213) = 3.

Given numbers are 936, 480, 78, 213

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 78 are 2 x 3 x 13

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 936, 480, 78, 213 is 3.

Given numbers are 936, 480, 78, 213

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

Apply this formula for all numbers.

Step1:

LCM(936, 480) = 18720

GCD(936, 480) = ( 936 x 480 ) / 18720

= 936 / 480

= 936

Step2:

LCM(24, 78) = 312

GCD(24, 78) = ( 24 x 78 ) / 312

= 24 / 78

= 24

Step3:

LCM(6, 213) = 426

GCD(6, 213) = ( 6 x 213 ) / 426

= 6 / 213

= 6

So, Greatest Common Divisor of 936, 480, 78, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 263, 35, 902
• GCD of 235, 101, 32, 237
• GCD of 474, 817, 36, 471
• GCD of 266, 877, 91, 647
• GCD of 517, 878, 25, 369

Given numbers are 936, 480, 78, 213
The greatest common divisor of numbers 936, 480, 78, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 480, 78, 213 is 3.

1. What is the GCD of 936, 480, 78, 213?

GCD of given numbers 936, 480, 78, 213 is 3

2. How to calculate the greatest common divisor of 936, 480, 78, 213?

We can find the highest common divisor of 936, 480, 78, 213 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 936, 480, 78, 213 i.e 3.

3. How can I use the GCD of 936, 480, 78, 213Calculator?

Out the numbers 936, 480, 78, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.