GCD of 774, 472, 408, 516 Calculator

Given Input numbers are 774, 472, 408, 516

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

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

GCD of numbers is the greatest common divisor

So, the GCD (774, 472, 408, 516) = 2.

Given numbers are 774, 472, 408, 516

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 774, 472, 408, 516 is 2.

Given numbers are 774, 472, 408, 516

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

Apply this formula for all numbers.

Step1:

LCM(774, 472) = 182664

GCD(774, 472) = ( 774 x 472 ) / 182664

= 774 / 472

= 774

Step2:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 774, 472, 408, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 136, 987, 100
• GCD of 940, 746, 419, 640
• GCD of 842, 684, 487, 138
• GCD of 383, 627, 960, 415
• GCD of 170, 469, 137, 421

Given numbers are 774, 472, 408, 516
The greatest common divisor of numbers 774, 472, 408, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 472, 408, 516 is 2.

1. What is the GCD of 774, 472, 408, 516?

GCD of given numbers 774, 472, 408, 516 is 2

2. How to calculate the greatest common divisor of 774, 472, 408, 516?

We can find the highest common divisor of 774, 472, 408, 516 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 774, 472, 408, 516 i.e 2.

3. How can I use the GCD of 774, 472, 408, 516Calculator?

Out the numbers 774, 472, 408, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.