GCD of 981, 109, 231 Calculator

Given Input numbers are 981, 109, 231

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

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (981, 109, 231) = 1.

Given numbers are 981, 109, 231

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 109 are 109

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 981, 109, 231

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

Apply this formula for all numbers.

Step1:

LCM(981, 109) = 981

GCD(981, 109) = ( 981 x 109 ) / 981

= 981 / 109

= 981

Step2:

LCM(109, 231) = 25179

GCD(109, 231) = ( 109 x 231 ) / 25179

= 109 / 231

= 109

So, Greatest Common Divisor of 981, 109, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 632, 553
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Given numbers are 981, 109, 231
The greatest common divisor of numbers 981, 109, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 109, 231 is 1.

1. What is the GCD of 981, 109, 231?

GCD of given numbers 981, 109, 231 is 1

2. How to calculate the greatest common divisor of 981, 109, 231?

We can find the highest common divisor of 981, 109, 231 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 981, 109, 231 i.e 1.

3. How can I use the GCD of 981, 109, 231Calculator?

Out the numbers 981, 109, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.