GCD of 424, 582, 978, 462 Calculator

Given Input numbers are 424, 582, 978, 462

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 582 :

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

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (424, 582, 978, 462) = 2.

Given numbers are 424, 582, 978, 462

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 582 are 2 x 3 x 97

Prime factors of 978 are 2 x 3 x 163

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 424, 582, 978, 462 is 2.

Given numbers are 424, 582, 978, 462

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

Apply this formula for all numbers.

Step1:

LCM(424, 582) = 123384

GCD(424, 582) = ( 424 x 582 ) / 123384

= 424 / 582

= 424

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 424, 582, 978, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 268, 863, 941
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Given numbers are 424, 582, 978, 462
The greatest common divisor of numbers 424, 582, 978, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 582, 978, 462 is 2.

1. What is the GCD of 424, 582, 978, 462?

GCD of given numbers 424, 582, 978, 462 is 2

2. How to calculate the greatest common divisor of 424, 582, 978, 462?

We can find the highest common divisor of 424, 582, 978, 462 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 424, 582, 978, 462 i.e 2.

3. How can I use the GCD of 424, 582, 978, 462Calculator?

Out the numbers 424, 582, 978, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.