GCD of 998, 694, 30, 822 Calculator

Given Input numbers are 998, 694, 30, 822

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

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 (998, 694, 30, 822) = 2.

Given numbers are 998, 694, 30, 822

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 694 are 2 x 347

Prime factors of 30 are 2 x 3 x 5

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 998, 694, 30, 822 is 2.

Given numbers are 998, 694, 30, 822

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

Apply this formula for all numbers.

Step1:

LCM(998, 694) = 346306

GCD(998, 694) = ( 998 x 694 ) / 346306

= 998 / 694

= 998

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 998, 694, 30, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 359, 14, 312
• GCD of 225, 740, 90, 577
• GCD of 336, 266, 82, 454
• GCD of 652, 242, 10, 378
• GCD of 170, 443, 23, 372

Given numbers are 998, 694, 30, 822
The greatest common divisor of numbers 998, 694, 30, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 694, 30, 822 is 2.

1. What is the GCD of 998, 694, 30, 822?

GCD of given numbers 998, 694, 30, 822 is 2

2. How to calculate the greatest common divisor of 998, 694, 30, 822?

We can find the highest common divisor of 998, 694, 30, 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 998, 694, 30, 822 i.e 2.

3. How can I use the GCD of 998, 694, 30, 822Calculator?

Out the numbers 998, 694, 30, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.