GCD of 993, 511, 742, 720 Calculator

Given Input numbers are 993, 511, 742, 720

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 511 :

The positive integer divisors of 511 that completely divides 511 are.

1, 7, 73, 511

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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

GCD of numbers is the greatest common divisor

So, the GCD (993, 511, 742, 720) = 1.

Given numbers are 993, 511, 742, 720

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 511 are 7 x 73

Prime factors of 742 are 2 x 7 x 53

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

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

Given numbers are 993, 511, 742, 720

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

Apply this formula for all numbers.

Step1:

LCM(993, 511) = 507423

GCD(993, 511) = ( 993 x 511 ) / 507423

= 993 / 511

= 993

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 993, 511, 742, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 814, 876, 451
• GCD of 545, 296, 339, 942
• GCD of 818, 191, 643, 729
• GCD of 680, 182, 202, 486
• GCD of 949, 692, 943, 637

Given numbers are 993, 511, 742, 720
The greatest common divisor of numbers 993, 511, 742, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 511, 742, 720 is 1.

1. What is the GCD of 993, 511, 742, 720?

GCD of given numbers 993, 511, 742, 720 is 1

2. How to calculate the greatest common divisor of 993, 511, 742, 720?

We can find the highest common divisor of 993, 511, 742, 720 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 993, 511, 742, 720 i.e 1.

3. How can I use the GCD of 993, 511, 742, 720Calculator?

Out the numbers 993, 511, 742, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.