GCD of 462, 598, 868, 564 Calculator

Given Input numbers are 462, 598, 868, 564

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

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (462, 598, 868, 564) = 2.

Given numbers are 462, 598, 868, 564

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 462, 598, 868, 564 is 2.

Given numbers are 462, 598, 868, 564

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

Apply this formula for all numbers.

Step1:

LCM(462, 598) = 138138

GCD(462, 598) = ( 462 x 598 ) / 138138

= 462 / 598

= 462

Step2:

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

= 2 / 868

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 462, 598, 868, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 368, 726, 506
• GCD of 998, 135, 243, 588
• GCD of 630, 758, 339, 221
• GCD of 363, 621, 316, 959
• GCD of 992, 318, 363, 717

Given numbers are 462, 598, 868, 564
The greatest common divisor of numbers 462, 598, 868, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 598, 868, 564 is 2.

1. What is the GCD of 462, 598, 868, 564?

GCD of given numbers 462, 598, 868, 564 is 2

2. How to calculate the greatest common divisor of 462, 598, 868, 564?

We can find the highest common divisor of 462, 598, 868, 564 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 462, 598, 868, 564 i.e 2.

3. How can I use the GCD of 462, 598, 868, 564Calculator?

Out the numbers 462, 598, 868, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.