GCD of 891, 138, 983, 205 Calculator

Given Input numbers are 891, 138, 983, 205

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

Divisors of 205 :

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

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (891, 138, 983, 205) = 1.

Given numbers are 891, 138, 983, 205

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 138 are 2 x 3 x 23

Prime factors of 983 are 983

Prime factors of 205 are 5 x 41

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

Given numbers are 891, 138, 983, 205

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

Apply this formula for all numbers.

Step1:

LCM(891, 138) = 40986

GCD(891, 138) = ( 891 x 138 ) / 40986

= 891 / 138

= 891

Step2:

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

= 3 / 983

= 3

Step3:

LCM(1, 205) = 205

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

= 1 / 205

= 1

So, Greatest Common Divisor of 891, 138, 983, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 274, 573, 127
• GCD of 383, 728, 985, 507
• GCD of 271, 482, 638, 507
• GCD of 170, 639, 178, 163
• GCD of 742, 630, 828, 230

Given numbers are 891, 138, 983, 205
The greatest common divisor of numbers 891, 138, 983, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 138, 983, 205 is 1.

1. What is the GCD of 891, 138, 983, 205?

GCD of given numbers 891, 138, 983, 205 is 1

2. How to calculate the greatest common divisor of 891, 138, 983, 205?

We can find the highest common divisor of 891, 138, 983, 205 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 891, 138, 983, 205 i.e 1.

3. How can I use the GCD of 891, 138, 983, 205Calculator?

Out the numbers 891, 138, 983, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.