GCD of 212, 410, 116, 472 Calculator

Given Input numbers are 212, 410, 116, 472

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

Divisors of 212 :

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

1, 2, 4, 53, 106, 212

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (212, 410, 116, 472) = 2.

Given numbers are 212, 410, 116, 472

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 410 are 2 x 5 x 41

Prime factors of 116 are 2 x 2 x 29

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 212, 410, 116, 472 is 2.

Given numbers are 212, 410, 116, 472

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

Apply this formula for all numbers.

Step1:

LCM(212, 410) = 43460

GCD(212, 410) = ( 212 x 410 ) / 43460

= 212 / 410

= 212

Step2:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 212, 410, 116, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 852, 519, 314
• GCD of 556, 359, 509, 696
• GCD of 903, 755, 359, 247
• GCD of 918, 191, 822, 341
• GCD of 406, 245, 553, 456

Given numbers are 212, 410, 116, 472
The greatest common divisor of numbers 212, 410, 116, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 410, 116, 472 is 2.

1. What is the GCD of 212, 410, 116, 472?

GCD of given numbers 212, 410, 116, 472 is 2

2. How to calculate the greatest common divisor of 212, 410, 116, 472?

We can find the highest common divisor of 212, 410, 116, 472 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 212, 410, 116, 472 i.e 2.

3. How can I use the GCD of 212, 410, 116, 472Calculator?

Out the numbers 212, 410, 116, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.