GCD of 820, 312, 662, 582 Calculator

Given Input numbers are 820, 312, 662, 582

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (820, 312, 662, 582) = 2.

Given numbers are 820, 312, 662, 582

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 662 are 2 x 331

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 2¹

Therefore, GCD of 820, 312, 662, 582 is 2.

Given numbers are 820, 312, 662, 582

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

Apply this formula for all numbers.

Step1:

LCM(820, 312) = 63960

GCD(820, 312) = ( 820 x 312 ) / 63960

= 820 / 312

= 820

Step2:

LCM(4, 662) = 1324

GCD(4, 662) = ( 4 x 662 ) / 1324

= 4 / 662

= 4

Step3:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

So, Greatest Common Divisor of 820, 312, 662, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 173, 121, 248
• GCD of 578, 308, 449, 246
• GCD of 542, 572, 716, 589
• GCD of 932, 735, 444, 976
• GCD of 704, 306, 327, 663

Given numbers are 820, 312, 662, 582
The greatest common divisor of numbers 820, 312, 662, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 312, 662, 582 is 2.

1. What is the GCD of 820, 312, 662, 582?

GCD of given numbers 820, 312, 662, 582 is 2

2. How to calculate the greatest common divisor of 820, 312, 662, 582?

We can find the highest common divisor of 820, 312, 662, 582 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, 312, 662, 582 i.e 2.

3. How can I use the GCD of 820, 312, 662, 582Calculator?

Out the numbers 820, 312, 662, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.