GCD of 231, 837, 100, 989 Calculator

Given Input numbers are 231, 837, 100, 989

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 989 :

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

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (231, 837, 100, 989) = 1.

Given numbers are 231, 837, 100, 989

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 989 are 23 x 43

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

Given numbers are 231, 837, 100, 989

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

Apply this formula for all numbers.

Step1:

LCM(231, 837) = 64449

GCD(231, 837) = ( 231 x 837 ) / 64449

= 231 / 837

= 231

Step2:

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

= 3 / 100

= 3

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 231, 837, 100, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 369, 750, 336
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• GCD of 617, 696, 253, 464
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• GCD of 387, 506, 729, 441

Given numbers are 231, 837, 100, 989
The greatest common divisor of numbers 231, 837, 100, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 837, 100, 989 is 1.

1. What is the GCD of 231, 837, 100, 989?

GCD of given numbers 231, 837, 100, 989 is 1

2. How to calculate the greatest common divisor of 231, 837, 100, 989?

We can find the highest common divisor of 231, 837, 100, 989 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 231, 837, 100, 989 i.e 1.

3. How can I use the GCD of 231, 837, 100, 989Calculator?

Out the numbers 231, 837, 100, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.