GCD of 945, 864, 812, 721 Calculator

Given Input numbers are 945, 864, 812, 721

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 721 :

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

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (945, 864, 812, 721) = 1.

Given numbers are 945, 864, 812, 721

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 721 are 7 x 103

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

Given numbers are 945, 864, 812, 721

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

Apply this formula for all numbers.

Step1:

LCM(945, 864) = 30240

GCD(945, 864) = ( 945 x 864 ) / 30240

= 945 / 864

= 945

Step2:

LCM(27, 812) = 21924

GCD(27, 812) = ( 27 x 812 ) / 21924

= 27 / 812

= 27

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 945, 864, 812, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 773, 836, 599
• GCD of 317, 680, 814, 449
• GCD of 469, 411, 241, 296
• GCD of 411, 143, 769, 208
• GCD of 703, 570, 310, 277

Given numbers are 945, 864, 812, 721
The greatest common divisor of numbers 945, 864, 812, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 864, 812, 721 is 1.

1. What is the GCD of 945, 864, 812, 721?

GCD of given numbers 945, 864, 812, 721 is 1

2. How to calculate the greatest common divisor of 945, 864, 812, 721?

We can find the highest common divisor of 945, 864, 812, 721 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 945, 864, 812, 721 i.e 1.

3. How can I use the GCD of 945, 864, 812, 721Calculator?

Out the numbers 945, 864, 812, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.