GCD of 564, 698, 598, 658 Calculator

Given Input numbers are 564, 698, 598, 658

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

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 598 :

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

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (564, 698, 598, 658) = 2.

Given numbers are 564, 698, 598, 658

The list of prime factors of all numbers are

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

Prime factors of 698 are 2 x 349

Prime factors of 598 are 2 x 13 x 23

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 564, 698, 598, 658 is 2.

Given numbers are 564, 698, 598, 658

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

Apply this formula for all numbers.

Step1:

LCM(564, 698) = 196836

GCD(564, 698) = ( 564 x 698 ) / 196836

= 564 / 698

= 564

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 564, 698, 598, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 721, 117, 874
• GCD of 137, 364, 416, 970
• GCD of 464, 906, 791, 801
• GCD of 212, 759, 179, 561
• GCD of 335, 854, 955, 544

Given numbers are 564, 698, 598, 658
The greatest common divisor of numbers 564, 698, 598, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 698, 598, 658 is 2.

1. What is the GCD of 564, 698, 598, 658?

GCD of given numbers 564, 698, 598, 658 is 2

2. How to calculate the greatest common divisor of 564, 698, 598, 658?

We can find the highest common divisor of 564, 698, 598, 658 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 564, 698, 598, 658 i.e 2.

3. How can I use the GCD of 564, 698, 598, 658Calculator?

Out the numbers 564, 698, 598, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.