GCD of 822, 353, 490, 900 Calculator

Given Input numbers are 822, 353, 490, 900

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

Divisors of 822 :

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

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (822, 353, 490, 900) = 1.

Given numbers are 822, 353, 490, 900

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 353 are 353

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 822, 353, 490, 900

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

Apply this formula for all numbers.

Step1:

LCM(822, 353) = 290166

GCD(822, 353) = ( 822 x 353 ) / 290166

= 822 / 353

= 822

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 822, 353, 490, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 234, 673, 435
• GCD of 395, 413, 397, 423
• GCD of 605, 801, 632, 425
• GCD of 374, 624, 895, 441
• GCD of 412, 844, 804, 922

Given numbers are 822, 353, 490, 900
The greatest common divisor of numbers 822, 353, 490, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 353, 490, 900 is 1.

1. What is the GCD of 822, 353, 490, 900?

GCD of given numbers 822, 353, 490, 900 is 1

2. How to calculate the greatest common divisor of 822, 353, 490, 900?

We can find the highest common divisor of 822, 353, 490, 900 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 822, 353, 490, 900 i.e 1.

3. How can I use the GCD of 822, 353, 490, 900Calculator?

Out the numbers 822, 353, 490, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.