GCD of 460, 723, 444, 772 Calculator

Given Input numbers are 460, 723, 444, 772

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (460, 723, 444, 772) = 1.

Given numbers are 460, 723, 444, 772

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 723 are 3 x 241

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 460, 723, 444, 772

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

Apply this formula for all numbers.

Step1:

LCM(460, 723) = 332580

GCD(460, 723) = ( 460 x 723 ) / 332580

= 460 / 723

= 460

Step2:

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

= 1 / 444

= 1

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 460, 723, 444, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 709, 275, 912
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• GCD of 860, 228, 849, 661
• GCD of 339, 380, 888, 725
• GCD of 900, 707, 980, 985

Given numbers are 460, 723, 444, 772
The greatest common divisor of numbers 460, 723, 444, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 723, 444, 772 is 1.

1. What is the GCD of 460, 723, 444, 772?

GCD of given numbers 460, 723, 444, 772 is 1

2. How to calculate the greatest common divisor of 460, 723, 444, 772?

We can find the highest common divisor of 460, 723, 444, 772 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 460, 723, 444, 772 i.e 1.

3. How can I use the GCD of 460, 723, 444, 772Calculator?

Out the numbers 460, 723, 444, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.