GCD of 594, 664, 350, 714 Calculator

Given Input numbers are 594, 664, 350, 714

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (594, 664, 350, 714) = 2.

Given numbers are 594, 664, 350, 714

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 594, 664, 350, 714 is 2.

Given numbers are 594, 664, 350, 714

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

Apply this formula for all numbers.

Step1:

LCM(594, 664) = 197208

GCD(594, 664) = ( 594 x 664 ) / 197208

= 594 / 664

= 594

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 594, 664, 350, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 170, 312, 854
• GCD of 853, 290, 548, 193
• GCD of 570, 814, 280, 796
• GCD of 920, 177, 536, 784
• GCD of 160, 479, 670, 974

Given numbers are 594, 664, 350, 714
The greatest common divisor of numbers 594, 664, 350, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 664, 350, 714 is 2.

1. What is the GCD of 594, 664, 350, 714?

GCD of given numbers 594, 664, 350, 714 is 2

2. How to calculate the greatest common divisor of 594, 664, 350, 714?

We can find the highest common divisor of 594, 664, 350, 714 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 594, 664, 350, 714 i.e 2.

3. How can I use the GCD of 594, 664, 350, 714Calculator?

Out the numbers 594, 664, 350, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.