GCD of 477, 261, 630, 822 Calculator

Given Input numbers are 477, 261, 630, 822

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 822 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (477, 261, 630, 822) = 3.

Given numbers are 477, 261, 630, 822

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 261 are 3 x 3 x 29

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 477, 261, 630, 822 is 3.

Given numbers are 477, 261, 630, 822

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

Apply this formula for all numbers.

Step1:

LCM(477, 261) = 13833

GCD(477, 261) = ( 477 x 261 ) / 13833

= 477 / 261

= 477

Step2:

LCM(9, 630) = 630

GCD(9, 630) = ( 9 x 630 ) / 630

= 9 / 630

= 9

Step3:

LCM(9, 822) = 2466

GCD(9, 822) = ( 9 x 822 ) / 2466

= 9 / 822

= 9

So, Greatest Common Divisor of 477, 261, 630, 822 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 902, 106, 591
• GCD of 657, 693, 989, 664
• GCD of 255, 387, 986, 367
• GCD of 837, 567, 863, 361
• GCD of 503, 489, 436, 397

Given numbers are 477, 261, 630, 822
The greatest common divisor of numbers 477, 261, 630, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 261, 630, 822 is 3.

1. What is the GCD of 477, 261, 630, 822?

GCD of given numbers 477, 261, 630, 822 is 3

2. How to calculate the greatest common divisor of 477, 261, 630, 822?

We can find the highest common divisor of 477, 261, 630, 822 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 477, 261, 630, 822 i.e 3.

3. How can I use the GCD of 477, 261, 630, 822Calculator?

Out the numbers 477, 261, 630, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.