GCD of 998, 772, 200, 805 Calculator

Given Input numbers are 998, 772, 200, 805

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

GCD of numbers is the greatest common divisor

So, the GCD (998, 772, 200, 805) = 1.

Given numbers are 998, 772, 200, 805

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 772 are 2 x 2 x 193

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 805 are 5 x 7 x 23

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

Given numbers are 998, 772, 200, 805

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

Apply this formula for all numbers.

Step1:

LCM(998, 772) = 385228

GCD(998, 772) = ( 998 x 772 ) / 385228

= 998 / 772

= 998

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 805) = 1610

GCD(2, 805) = ( 2 x 805 ) / 1610

= 2 / 805

= 2

So, Greatest Common Divisor of 998, 772, 200, 805 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 681, 827, 103
• GCD of 621, 177, 213, 590
• GCD of 472, 189, 316, 345
• GCD of 384, 232, 473, 266
• GCD of 236, 251, 503, 728

Given numbers are 998, 772, 200, 805
The greatest common divisor of numbers 998, 772, 200, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 772, 200, 805 is 1.

1. What is the GCD of 998, 772, 200, 805?

GCD of given numbers 998, 772, 200, 805 is 1

2. How to calculate the greatest common divisor of 998, 772, 200, 805?

We can find the highest common divisor of 998, 772, 200, 805 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, 772, 200, 805 i.e 1.

3. How can I use the GCD of 998, 772, 200, 805Calculator?

Out the numbers 998, 772, 200, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.