GCD of 442, 562, 572, 412 Calculator

Given Input numbers are 442, 562, 572, 412

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 412 :

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

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (442, 562, 572, 412) = 2.

Given numbers are 442, 562, 572, 412

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 562 are 2 x 281

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 442, 562, 572, 412 is 2.

Given numbers are 442, 562, 572, 412

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

Apply this formula for all numbers.

Step1:

LCM(442, 562) = 124202

GCD(442, 562) = ( 442 x 562 ) / 124202

= 442 / 562

= 442

Step2:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 442, 562, 572, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 887, 876, 165
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• GCD of 215, 284, 937, 938
• GCD of 645, 357, 836, 478
• GCD of 524, 566, 434, 780

Given numbers are 442, 562, 572, 412
The greatest common divisor of numbers 442, 562, 572, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 562, 572, 412 is 2.

1. What is the GCD of 442, 562, 572, 412?

GCD of given numbers 442, 562, 572, 412 is 2

2. How to calculate the greatest common divisor of 442, 562, 572, 412?

We can find the highest common divisor of 442, 562, 572, 412 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 442, 562, 572, 412 i.e 2.

3. How can I use the GCD of 442, 562, 572, 412Calculator?

Out the numbers 442, 562, 572, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.