GCD of 495, 715, 792, 231 Calculator

Given Input numbers are 495, 715, 792, 231

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (495, 715, 792, 231) = 11.

Given numbers are 495, 715, 792, 231

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 715 are 5 x 11 x 13

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 11¹

Therefore, GCD of 495, 715, 792, 231 is 11.

Given numbers are 495, 715, 792, 231

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

Apply this formula for all numbers.

Step1:

LCM(495, 715) = 6435

GCD(495, 715) = ( 495 x 715 ) / 6435

= 495 / 715

= 495

Step2:

LCM(55, 792) = 3960

GCD(55, 792) = ( 55 x 792 ) / 3960

= 55 / 792

= 55

Step3:

LCM(11, 231) = 231

GCD(11, 231) = ( 11 x 231 ) / 231

= 11 / 231

= 11

So, Greatest Common Divisor of 495, 715, 792, 231 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 209, 907, 391
• GCD of 844, 520, 734, 551
• GCD of 427, 815, 854, 818
• GCD of 526, 611, 410, 284
• GCD of 722, 515, 211, 256

Given numbers are 495, 715, 792, 231
The greatest common divisor of numbers 495, 715, 792, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 715, 792, 231 is 11.

1. What is the GCD of 495, 715, 792, 231?

GCD of given numbers 495, 715, 792, 231 is 11

2. How to calculate the greatest common divisor of 495, 715, 792, 231?

We can find the highest common divisor of 495, 715, 792, 231 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 495, 715, 792, 231 i.e 11.

3. How can I use the GCD of 495, 715, 792, 231Calculator?

Out the numbers 495, 715, 792, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.