GCD of 357, 471, 516, 594 Calculator

Given Input numbers are 357, 471, 516, 594

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

GCD of numbers is the greatest common divisor

So, the GCD (357, 471, 516, 594) = 3.

Given numbers are 357, 471, 516, 594

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 471 are 3 x 157

Prime factors of 516 are 2 x 2 x 3 x 43

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

The highest common occurrence is 3¹

Therefore, GCD of 357, 471, 516, 594 is 3.

Given numbers are 357, 471, 516, 594

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

Apply this formula for all numbers.

Step1:

LCM(357, 471) = 56049

GCD(357, 471) = ( 357 x 471 ) / 56049

= 357 / 471

= 357

Step2:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

Step3:

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

= 3 / 594

= 3

So, Greatest Common Divisor of 357, 471, 516, 594 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 537, 451, 772
• GCD of 210, 199, 610, 620
• GCD of 492, 197, 501, 924
• GCD of 761, 497, 509, 535
• GCD of 547, 712, 562, 723

Given numbers are 357, 471, 516, 594
The greatest common divisor of numbers 357, 471, 516, 594 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 471, 516, 594 is 3.

1. What is the GCD of 357, 471, 516, 594?

GCD of given numbers 357, 471, 516, 594 is 3

2. How to calculate the greatest common divisor of 357, 471, 516, 594?

We can find the highest common divisor of 357, 471, 516, 594 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 357, 471, 516, 594 i.e 3.

3. How can I use the GCD of 357, 471, 516, 594Calculator?

Out the numbers 357, 471, 516, 594 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.