GCD of 105, 936, 520, 212 Calculator

Given Input numbers are 105, 936, 520, 212

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (105, 936, 520, 212) = 1.

Given numbers are 105, 936, 520, 212

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 212 are 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 105, 936, 520, 212

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

Apply this formula for all numbers.

Step1:

LCM(105, 936) = 32760

GCD(105, 936) = ( 105 x 936 ) / 32760

= 105 / 936

= 105

Step2:

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

= 3 / 520

= 3

Step3:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1

So, Greatest Common Divisor of 105, 936, 520, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 185, 893, 544
• GCD of 498, 622, 233, 663
• GCD of 605, 647, 827, 208
• GCD of 310, 260, 218, 936
• GCD of 688, 234, 714, 946

Given numbers are 105, 936, 520, 212
The greatest common divisor of numbers 105, 936, 520, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 936, 520, 212 is 1.

1. What is the GCD of 105, 936, 520, 212?

GCD of given numbers 105, 936, 520, 212 is 1

2. How to calculate the greatest common divisor of 105, 936, 520, 212?

We can find the highest common divisor of 105, 936, 520, 212 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 105, 936, 520, 212 i.e 1.

3. How can I use the GCD of 105, 936, 520, 212Calculator?

Out the numbers 105, 936, 520, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.