GCD of 708, 774, 318, 564 Calculator

Given Input numbers are 708, 774, 318, 564

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 (708, 774, 318, 564) = 6.

Given numbers are 708, 774, 318, 564

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 318 are 2 x 3 x 53

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 708, 774, 318, 564 is 6.

Given numbers are 708, 774, 318, 564

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

Apply this formula for all numbers.

Step1:

LCM(708, 774) = 91332

GCD(708, 774) = ( 708 x 774 ) / 91332

= 708 / 774

= 708

Step2:

LCM(6, 318) = 318

GCD(6, 318) = ( 6 x 318 ) / 318

= 6 / 318

= 6

Step3:

LCM(6, 564) = 564

GCD(6, 564) = ( 6 x 564 ) / 564

= 6 / 564

= 6

So, Greatest Common Divisor of 708, 774, 318, 564 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 484, 614, 940
• GCD of 384, 343, 529, 801
• GCD of 143, 858, 166, 595
• GCD of 141, 711, 322, 205
• GCD of 529, 253, 174, 537

Given numbers are 708, 774, 318, 564
The greatest common divisor of numbers 708, 774, 318, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 774, 318, 564 is 6.

1. What is the GCD of 708, 774, 318, 564?

GCD of given numbers 708, 774, 318, 564 is 6

2. How to calculate the greatest common divisor of 708, 774, 318, 564?

We can find the highest common divisor of 708, 774, 318, 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 708, 774, 318, 564 i.e 6.

3. How can I use the GCD of 708, 774, 318, 564Calculator?

Out the numbers 708, 774, 318, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.