GCD of 774, 676, 36, 598 Calculator

Given Input numbers are 774, 676, 36, 598

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (774, 676, 36, 598) = 2.

Given numbers are 774, 676, 36, 598

The list of prime factors of all numbers are

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 774, 676, 36, 598 is 2.

Given numbers are 774, 676, 36, 598

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

Apply this formula for all numbers.

Step1:

LCM(774, 676) = 261612

GCD(774, 676) = ( 774 x 676 ) / 261612

= 774 / 676

= 774

Step2:

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

= 2 / 36

= 2

Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

So, Greatest Common Divisor of 774, 676, 36, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 629, 65, 966
• GCD of 482, 570, 15, 703
• GCD of 347, 330, 44, 732
• GCD of 861, 434, 59, 423
• GCD of 236, 456, 16, 338

Given numbers are 774, 676, 36, 598
The greatest common divisor of numbers 774, 676, 36, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 676, 36, 598 is 2.

1. What is the GCD of 774, 676, 36, 598?

GCD of given numbers 774, 676, 36, 598 is 2

2. How to calculate the greatest common divisor of 774, 676, 36, 598?

We can find the highest common divisor of 774, 676, 36, 598 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, 676, 36, 598 i.e 2.

3. How can I use the GCD of 774, 676, 36, 598Calculator?

Out the numbers 774, 676, 36, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.