GCD of 534, 465, 723, 318 Calculator

Given Input numbers are 534, 465, 723, 318

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 465 :

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

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (534, 465, 723, 318) = 3.

Given numbers are 534, 465, 723, 318

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 465 are 3 x 5 x 31

Prime factors of 723 are 3 x 241

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 534, 465, 723, 318 is 3.

Given numbers are 534, 465, 723, 318

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

Apply this formula for all numbers.

Step1:

LCM(534, 465) = 82770

GCD(534, 465) = ( 534 x 465 ) / 82770

= 534 / 465

= 534

Step2:

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

= 3 / 723

= 3

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 534, 465, 723, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 676, 218, 984
• GCD of 420, 640, 604, 611
• GCD of 168, 824, 191, 528
• GCD of 975, 535, 710, 616
• GCD of 576, 996, 986, 500

Given numbers are 534, 465, 723, 318
The greatest common divisor of numbers 534, 465, 723, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 465, 723, 318 is 3.

1. What is the GCD of 534, 465, 723, 318?

GCD of given numbers 534, 465, 723, 318 is 3

2. How to calculate the greatest common divisor of 534, 465, 723, 318?

We can find the highest common divisor of 534, 465, 723, 318 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 534, 465, 723, 318 i.e 3.

3. How can I use the GCD of 534, 465, 723, 318Calculator?

Out the numbers 534, 465, 723, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.