GCD of 961, 361, 498, 822 Calculator

Given Input numbers are 961, 361, 498, 822

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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 (961, 361, 498, 822) = 1.

Given numbers are 961, 361, 498, 822

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 361 are 19 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 961, 361, 498, 822

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

Apply this formula for all numbers.

Step1:

LCM(961, 361) = 346921

GCD(961, 361) = ( 961 x 361 ) / 346921

= 961 / 361

= 961

Step2:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 961, 361, 498, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 338, 611, 353
• GCD of 333, 218, 380, 546
• GCD of 836, 620, 156, 415
• GCD of 283, 372, 857, 503
• GCD of 740, 863, 438, 357

Given numbers are 961, 361, 498, 822
The greatest common divisor of numbers 961, 361, 498, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 361, 498, 822 is 1.

1. What is the GCD of 961, 361, 498, 822?

GCD of given numbers 961, 361, 498, 822 is 1

2. How to calculate the greatest common divisor of 961, 361, 498, 822?

We can find the highest common divisor of 961, 361, 498, 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 961, 361, 498, 822 i.e 1.

3. How can I use the GCD of 961, 361, 498, 822Calculator?

Out the numbers 961, 361, 498, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.