GCD of 465, 738, 923, 982 Calculator

Given Input numbers are 465, 738, 923, 982

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (465, 738, 923, 982) = 1.

Given numbers are 465, 738, 923, 982

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

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

Prime factors of 923 are 13 x 71

Prime factors of 982 are 2 x 491

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

Given numbers are 465, 738, 923, 982

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

Apply this formula for all numbers.

Step1:

LCM(465, 738) = 114390

GCD(465, 738) = ( 465 x 738 ) / 114390

= 465 / 738

= 465

Step2:

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

= 3 / 923

= 3

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 465, 738, 923, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 352, 319, 571
• GCD of 405, 317, 621, 254
• GCD of 235, 251, 804, 134
• GCD of 598, 137, 240, 501
• GCD of 887, 538, 878, 360

Given numbers are 465, 738, 923, 982
The greatest common divisor of numbers 465, 738, 923, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 738, 923, 982 is 1.

1. What is the GCD of 465, 738, 923, 982?

GCD of given numbers 465, 738, 923, 982 is 1

2. How to calculate the greatest common divisor of 465, 738, 923, 982?

We can find the highest common divisor of 465, 738, 923, 982 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 465, 738, 923, 982 i.e 1.

3. How can I use the GCD of 465, 738, 923, 982Calculator?

Out the numbers 465, 738, 923, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.