GCD of 827, 916, 585, 198 Calculator

Given Input numbers are 827, 916, 585, 198

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (827, 916, 585, 198) = 1.

Given numbers are 827, 916, 585, 198

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 916 are 2 x 2 x 229

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 827, 916, 585, 198

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

Apply this formula for all numbers.

Step1:

LCM(827, 916) = 757532

GCD(827, 916) = ( 827 x 916 ) / 757532

= 827 / 916

= 827

Step2:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 827, 916, 585, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 953, 403, 355
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• GCD of 902, 125, 859, 758
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Given numbers are 827, 916, 585, 198
The greatest common divisor of numbers 827, 916, 585, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 916, 585, 198 is 1.

1. What is the GCD of 827, 916, 585, 198?

GCD of given numbers 827, 916, 585, 198 is 1

2. How to calculate the greatest common divisor of 827, 916, 585, 198?

We can find the highest common divisor of 827, 916, 585, 198 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 827, 916, 585, 198 i.e 1.

3. How can I use the GCD of 827, 916, 585, 198Calculator?

Out the numbers 827, 916, 585, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.