GCD of 728, 767, 424, 364 Calculator

Given Input numbers are 728, 767, 424, 364

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (728, 767, 424, 364) = 1.

Given numbers are 728, 767, 424, 364

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 767 are 13 x 59

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 728, 767, 424, 364

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

Apply this formula for all numbers.

Step1:

LCM(728, 767) = 42952

GCD(728, 767) = ( 728 x 767 ) / 42952

= 728 / 767

= 728

Step2:

LCM(13, 424) = 5512

GCD(13, 424) = ( 13 x 424 ) / 5512

= 13 / 424

= 13

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 728, 767, 424, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 952, 212, 332
• GCD of 722, 641, 898, 978
• GCD of 249, 475, 632, 973
• GCD of 993, 361, 791, 660
• GCD of 634, 247, 887, 836

Given numbers are 728, 767, 424, 364
The greatest common divisor of numbers 728, 767, 424, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 767, 424, 364 is 1.

1. What is the GCD of 728, 767, 424, 364?

GCD of given numbers 728, 767, 424, 364 is 1

2. How to calculate the greatest common divisor of 728, 767, 424, 364?

We can find the highest common divisor of 728, 767, 424, 364 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 728, 767, 424, 364 i.e 1.

3. How can I use the GCD of 728, 767, 424, 364Calculator?

Out the numbers 728, 767, 424, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.