GCD of 987, 108, 694 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 987, 108, 694 quickly. Get the easiest ways to solve the greatest common divisor of 987, 108, 694 i.e 1 in different methods as follows.
Given Input numbers are 987, 108, 694
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
GCD of numbers is the greatest common divisor
So, the GCD (987, 108, 694) = 1.
Given numbers are 987, 108, 694
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 694 are 2 x 347
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 987, 108, 694 using LCM Formula
Given numbers are 987, 108, 694
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 108) = 35532
GCD(987, 108) = ( 987 x 108 ) / 35532
= 987 / 108
= 987
Step2:
LCM(3, 694) = 2082
GCD(3, 694) = ( 3 x 694 ) / 2082
= 3 / 694
= 3
So, Greatest Common Divisor of 987, 108, 694 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 987, 108, 694
Given numbers are 987, 108, 694
The greatest common divisor of numbers 987, 108, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 108, 694 is 1.
FAQs on GCD of 987, 108, 694 Calculator
1. What is the GCD of 987, 108, 694?
GCD of given numbers 987, 108, 694 is 1
2. How to calculate the greatest common divisor of 987, 108, 694?
We can find the highest common divisor of 987, 108, 694 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 987, 108, 694 i.e 1.
3. How can I use the GCD of 987, 108, 694Calculator?
Out the numbers 987, 108, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.