GCD of 460, 323, 953, 738 Calculator

Given Input numbers are 460, 323, 953, 738

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 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (460, 323, 953, 738) = 1.

Given numbers are 460, 323, 953, 738

The list of prime factors of all numbers are

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

Prime factors of 323 are 17 x 19

Prime factors of 953 are 953

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 460, 323, 953, 738

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

Apply this formula for all numbers.

Step1:

LCM(460, 323) = 148580

GCD(460, 323) = ( 460 x 323 ) / 148580

= 460 / 323

= 460

Step2:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 460, 323, 953, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 973, 890, 603
• GCD of 369, 396, 756, 780
• GCD of 987, 205, 954, 981
• GCD of 506, 333, 184, 600
• GCD of 340, 698, 110, 394

Given numbers are 460, 323, 953, 738
The greatest common divisor of numbers 460, 323, 953, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 323, 953, 738 is 1.

1. What is the GCD of 460, 323, 953, 738?

GCD of given numbers 460, 323, 953, 738 is 1

2. How to calculate the greatest common divisor of 460, 323, 953, 738?

We can find the highest common divisor of 460, 323, 953, 738 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, 323, 953, 738 i.e 1.

3. How can I use the GCD of 460, 323, 953, 738Calculator?

Out the numbers 460, 323, 953, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.