GCD of 825, 822, 888, 998 Calculator

Given Input numbers are 825, 822, 888, 998

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 822 :

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

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (825, 822, 888, 998) = 1.

Given numbers are 825, 822, 888, 998

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 822 are 2 x 3 x 137

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 998 are 2 x 499

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

Given numbers are 825, 822, 888, 998

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

Apply this formula for all numbers.

Step1:

LCM(825, 822) = 226050

GCD(825, 822) = ( 825 x 822 ) / 226050

= 825 / 822

= 825

Step2:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3

Step3:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

So, Greatest Common Divisor of 825, 822, 888, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 586, 802, 430
• GCD of 764, 849, 302, 960
• GCD of 196, 293, 802, 318
• GCD of 841, 844, 196, 328
• GCD of 333, 393, 244, 486

Given numbers are 825, 822, 888, 998
The greatest common divisor of numbers 825, 822, 888, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 822, 888, 998 is 1.

1. What is the GCD of 825, 822, 888, 998?

GCD of given numbers 825, 822, 888, 998 is 1

2. How to calculate the greatest common divisor of 825, 822, 888, 998?

We can find the highest common divisor of 825, 822, 888, 998 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 825, 822, 888, 998 i.e 1.

3. How can I use the GCD of 825, 822, 888, 998Calculator?

Out the numbers 825, 822, 888, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.