GCD of 721, 723, 996, 749 Calculator

Given Input numbers are 721, 723, 996, 749

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (721, 723, 996, 749) = 1.

Given numbers are 721, 723, 996, 749

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 723 are 3 x 241

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 749 are 7 x 107

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

Given numbers are 721, 723, 996, 749

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

Apply this formula for all numbers.

Step1:

LCM(721, 723) = 521283

GCD(721, 723) = ( 721 x 723 ) / 521283

= 721 / 723

= 721

Step2:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 721, 723, 996, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 516, 414, 285
• GCD of 335, 673, 655, 928
• GCD of 545, 146, 293, 828
• GCD of 435, 859, 472, 771
• GCD of 500, 791, 192, 380

Given numbers are 721, 723, 996, 749
The greatest common divisor of numbers 721, 723, 996, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 723, 996, 749 is 1.

1. What is the GCD of 721, 723, 996, 749?

GCD of given numbers 721, 723, 996, 749 is 1

2. How to calculate the greatest common divisor of 721, 723, 996, 749?

We can find the highest common divisor of 721, 723, 996, 749 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 721, 723, 996, 749 i.e 1.

3. How can I use the GCD of 721, 723, 996, 749Calculator?

Out the numbers 721, 723, 996, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.