GCD of 364, 412, 284, 612 Calculator

Given Input numbers are 364, 412, 284, 612

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (364, 412, 284, 612) = 4.

Given numbers are 364, 412, 284, 612

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 412 are 2 x 2 x 103

Prime factors of 284 are 2 x 2 x 71

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 2²

Therefore, GCD of 364, 412, 284, 612 is 4.

Given numbers are 364, 412, 284, 612

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

Apply this formula for all numbers.

Step1:

LCM(364, 412) = 37492

GCD(364, 412) = ( 364 x 412 ) / 37492

= 364 / 412

= 364

Step2:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

Step3:

LCM(4, 612) = 612

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

= 4 / 612

= 4

So, Greatest Common Divisor of 364, 412, 284, 612 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 538, 870, 648
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• GCD of 497, 918, 941, 762

Given numbers are 364, 412, 284, 612
The greatest common divisor of numbers 364, 412, 284, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 412, 284, 612 is 4.

1. What is the GCD of 364, 412, 284, 612?

GCD of given numbers 364, 412, 284, 612 is 4

2. How to calculate the greatest common divisor of 364, 412, 284, 612?

We can find the highest common divisor of 364, 412, 284, 612 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 364, 412, 284, 612 i.e 4.

3. How can I use the GCD of 364, 412, 284, 612Calculator?

Out the numbers 364, 412, 284, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.