GCD of 367, 450, 728, 674 Calculator

Given Input numbers are 367, 450, 728, 674

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

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (367, 450, 728, 674) = 1.

Given numbers are 367, 450, 728, 674

The list of prime factors of all numbers are

Prime factors of 367 are 367

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 674 are 2 x 337

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

Given numbers are 367, 450, 728, 674

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

Apply this formula for all numbers.

Step1:

LCM(367, 450) = 165150

GCD(367, 450) = ( 367 x 450 ) / 165150

= 367 / 450

= 367

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 367, 450, 728, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 719, 956, 507
• GCD of 868, 948, 421, 868
• GCD of 298, 290, 488, 182
• GCD of 406, 275, 230, 312
• GCD of 532, 791, 612, 447

Given numbers are 367, 450, 728, 674
The greatest common divisor of numbers 367, 450, 728, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 450, 728, 674 is 1.

1. What is the GCD of 367, 450, 728, 674?

GCD of given numbers 367, 450, 728, 674 is 1

2. How to calculate the greatest common divisor of 367, 450, 728, 674?

We can find the highest common divisor of 367, 450, 728, 674 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 367, 450, 728, 674 i.e 1.

3. How can I use the GCD of 367, 450, 728, 674Calculator?

Out the numbers 367, 450, 728, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.