GCD of 396, 309, 771, 574 Calculator

Given Input numbers are 396, 309, 771, 574

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (396, 309, 771, 574) = 1.

Given numbers are 396, 309, 771, 574

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 309 are 3 x 103

Prime factors of 771 are 3 x 257

Prime factors of 574 are 2 x 7 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 396, 309, 771, 574

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

Apply this formula for all numbers.

Step1:

LCM(396, 309) = 40788

GCD(396, 309) = ( 396 x 309 ) / 40788

= 396 / 309

= 396

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

Step3:

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

= 3 / 574

= 3

So, Greatest Common Divisor of 396, 309, 771, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 514, 910, 294
• GCD of 882, 685, 289, 430
• GCD of 833, 780, 667, 659
• GCD of 984, 303, 850, 799
• GCD of 392, 156, 539, 905

Given numbers are 396, 309, 771, 574
The greatest common divisor of numbers 396, 309, 771, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 309, 771, 574 is 1.

1. What is the GCD of 396, 309, 771, 574?

GCD of given numbers 396, 309, 771, 574 is 1

2. How to calculate the greatest common divisor of 396, 309, 771, 574?

We can find the highest common divisor of 396, 309, 771, 574 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 396, 309, 771, 574 i.e 1.

3. How can I use the GCD of 396, 309, 771, 574Calculator?

Out the numbers 396, 309, 771, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.