GCD of 981, 687, 12 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 981, 687, 12 quickly. Get the easiest ways to solve the greatest common divisor of 981, 687, 12 i.e 3 in different methods as follows.
Given Input numbers are 981, 687, 12
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
GCD of numbers is the greatest common divisor
So, the GCD (981, 687, 12) = 3.
Given numbers are 981, 687, 12
The list of prime factors of all numbers are
Prime factors of 981 are 3 x 3 x 109
Prime factors of 687 are 3 x 229
Prime factors of 12 are 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 981, 687, 12 is 3.
Steps to Calculate GCD of 981, 687, 12 using LCM Formula
Given numbers are 981, 687, 12
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(981, 687) = 224649
GCD(981, 687) = ( 981 x 687 ) / 224649
= 981 / 687
= 981
Step2:
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
= 3 / 12
= 3
So, Greatest Common Divisor of 981, 687, 12 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 981, 687, 12
Given numbers are 981, 687, 12
The greatest common divisor of numbers 981, 687, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 687, 12 is 3.
FAQs on GCD of 981, 687, 12 Calculator
1. What is the GCD of 981, 687, 12?
GCD of given numbers 981, 687, 12 is 3
2. How to calculate the greatest common divisor of 981, 687, 12?
We can find the highest common divisor of 981, 687, 12 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, 687, 12 i.e 3.
3. How can I use the GCD of 981, 687, 12Calculator?
Out the numbers 981, 687, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.