GCD of 820, 438, 356, 562 Calculator

Given Input numbers are 820, 438, 356, 562

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 438 :

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

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 562 :

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

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (820, 438, 356, 562) = 2.

Given numbers are 820, 438, 356, 562

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 438 are 2 x 3 x 73

Prime factors of 356 are 2 x 2 x 89

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 820, 438, 356, 562 is 2.

Given numbers are 820, 438, 356, 562

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

Apply this formula for all numbers.

Step1:

LCM(820, 438) = 179580

GCD(820, 438) = ( 820 x 438 ) / 179580

= 820 / 438

= 820

Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

Step3:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

So, Greatest Common Divisor of 820, 438, 356, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 784, 520, 152
• GCD of 323, 541, 452, 329
• GCD of 292, 778, 376, 211
• GCD of 484, 554, 197, 244
• GCD of 770, 603, 472, 419

Given numbers are 820, 438, 356, 562
The greatest common divisor of numbers 820, 438, 356, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 438, 356, 562 is 2.

1. What is the GCD of 820, 438, 356, 562?

GCD of given numbers 820, 438, 356, 562 is 2

2. How to calculate the greatest common divisor of 820, 438, 356, 562?

We can find the highest common divisor of 820, 438, 356, 562 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 820, 438, 356, 562 i.e 2.

3. How can I use the GCD of 820, 438, 356, 562Calculator?

Out the numbers 820, 438, 356, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.