GCD of 562, 224, 438, 206 Calculator

Given Input numbers are 562, 224, 438, 206

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

Divisors of 562 :

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

1, 2, 281, 562

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (562, 224, 438, 206) = 2.

Given numbers are 562, 224, 438, 206

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 438 are 2 x 3 x 73

Prime factors of 206 are 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 562, 224, 438, 206 is 2.

Given numbers are 562, 224, 438, 206

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

Apply this formula for all numbers.

Step1:

LCM(562, 224) = 62944

GCD(562, 224) = ( 562 x 224 ) / 62944

= 562 / 224

= 562

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

= 2 / 206

= 2

So, Greatest Common Divisor of 562, 224, 438, 206 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 997, 270, 444
• GCD of 709, 378, 426, 979
• GCD of 190, 306, 601, 163
• GCD of 510, 878, 830, 985
• GCD of 793, 931, 309, 500

Given numbers are 562, 224, 438, 206
The greatest common divisor of numbers 562, 224, 438, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 224, 438, 206 is 2.

1. What is the GCD of 562, 224, 438, 206?

GCD of given numbers 562, 224, 438, 206 is 2

2. How to calculate the greatest common divisor of 562, 224, 438, 206?

We can find the highest common divisor of 562, 224, 438, 206 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 562, 224, 438, 206 i.e 2.

3. How can I use the GCD of 562, 224, 438, 206Calculator?

Out the numbers 562, 224, 438, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.