GCD of 465, 822, 693, 606 Calculator

Given Input numbers are 465, 822, 693, 606

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (465, 822, 693, 606) = 3.

Given numbers are 465, 822, 693, 606

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 822 are 2 x 3 x 137

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 465, 822, 693, 606 is 3.

Given numbers are 465, 822, 693, 606

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

Apply this formula for all numbers.

Step1:

LCM(465, 822) = 127410

GCD(465, 822) = ( 465 x 822 ) / 127410

= 465 / 822

= 465

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 606) = 606

GCD(3, 606) = ( 3 x 606 ) / 606

= 3 / 606

= 3

So, Greatest Common Divisor of 465, 822, 693, 606 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 230, 968, 971
• GCD of 753, 681, 269, 376
• GCD of 896, 523, 633, 356
• GCD of 183, 545, 668, 360
• GCD of 500, 151, 387, 273

Given numbers are 465, 822, 693, 606
The greatest common divisor of numbers 465, 822, 693, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 822, 693, 606 is 3.

1. What is the GCD of 465, 822, 693, 606?

GCD of given numbers 465, 822, 693, 606 is 3

2. How to calculate the greatest common divisor of 465, 822, 693, 606?

We can find the highest common divisor of 465, 822, 693, 606 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, 822, 693, 606 i.e 3.

3. How can I use the GCD of 465, 822, 693, 606Calculator?

Out the numbers 465, 822, 693, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.