GCD of 723, 397, 896, 612 Calculator

Given Input numbers are 723, 397, 896, 612

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (723, 397, 896, 612) = 1.

Given numbers are 723, 397, 896, 612

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 397 are 397

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Given numbers are 723, 397, 896, 612

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

Apply this formula for all numbers.

Step1:

LCM(723, 397) = 287031

GCD(723, 397) = ( 723 x 397 ) / 287031

= 723 / 397

= 723

Step2:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

Step3:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1

So, Greatest Common Divisor of 723, 397, 896, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 920, 819, 154
• GCD of 370, 721, 974, 846
• GCD of 871, 353, 244, 592
• GCD of 489, 242, 996, 766
• GCD of 442, 103, 746, 599

Given numbers are 723, 397, 896, 612
The greatest common divisor of numbers 723, 397, 896, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 397, 896, 612 is 1.

1. What is the GCD of 723, 397, 896, 612?

GCD of given numbers 723, 397, 896, 612 is 1

2. How to calculate the greatest common divisor of 723, 397, 896, 612?

We can find the highest common divisor of 723, 397, 896, 612 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 723, 397, 896, 612 i.e 1.

3. How can I use the GCD of 723, 397, 896, 612Calculator?

Out the numbers 723, 397, 896, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.