GCD of 720, 204, 674, 793 Calculator

Given Input numbers are 720, 204, 674, 793

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

GCD of numbers is the greatest common divisor

So, the GCD (720, 204, 674, 793) = 1.

Given numbers are 720, 204, 674, 793

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 674 are 2 x 337

Prime factors of 793 are 13 x 61

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

Given numbers are 720, 204, 674, 793

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

Apply this formula for all numbers.

Step1:

LCM(720, 204) = 12240

GCD(720, 204) = ( 720 x 204 ) / 12240

= 720 / 204

= 720

Step2:

LCM(12, 674) = 4044

GCD(12, 674) = ( 12 x 674 ) / 4044

= 12 / 674

= 12

Step3:

LCM(2, 793) = 1586

GCD(2, 793) = ( 2 x 793 ) / 1586

= 2 / 793

= 2

So, Greatest Common Divisor of 720, 204, 674, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 265, 526, 169
• GCD of 849, 781, 589, 140
• GCD of 293, 389, 836, 885
• GCD of 491, 988, 490, 877
• GCD of 462, 699, 496, 402

Given numbers are 720, 204, 674, 793
The greatest common divisor of numbers 720, 204, 674, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 204, 674, 793 is 1.

1. What is the GCD of 720, 204, 674, 793?

GCD of given numbers 720, 204, 674, 793 is 1

2. How to calculate the greatest common divisor of 720, 204, 674, 793?

We can find the highest common divisor of 720, 204, 674, 793 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 720, 204, 674, 793 i.e 1.

3. How can I use the GCD of 720, 204, 674, 793Calculator?

Out the numbers 720, 204, 674, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.