GCD of 989, 981, 205, 828 Calculator

Given Input numbers are 989, 981, 205, 828

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (989, 981, 205, 828) = 1.

Given numbers are 989, 981, 205, 828

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 981 are 3 x 3 x 109

Prime factors of 205 are 5 x 41

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 989, 981, 205, 828

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

Apply this formula for all numbers.

Step1:

LCM(989, 981) = 970209

GCD(989, 981) = ( 989 x 981 ) / 970209

= 989 / 981

= 989

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 989, 981, 205, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 736, 858, 432
• GCD of 742, 596, 155, 338
• GCD of 275, 428, 720, 739
• GCD of 130, 580, 662, 712
• GCD of 901, 204, 591, 120

Given numbers are 989, 981, 205, 828
The greatest common divisor of numbers 989, 981, 205, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 981, 205, 828 is 1.

1. What is the GCD of 989, 981, 205, 828?

GCD of given numbers 989, 981, 205, 828 is 1

2. How to calculate the greatest common divisor of 989, 981, 205, 828?

We can find the highest common divisor of 989, 981, 205, 828 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 989, 981, 205, 828 i.e 1.

3. How can I use the GCD of 989, 981, 205, 828Calculator?

Out the numbers 989, 981, 205, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.