GCD of 816, 987, 172 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 816, 987, 172 quickly. Get the easiest ways to solve the greatest common divisor of 816, 987, 172 i.e 1 in different methods as follows.
Given Input numbers are 816, 987, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (816, 987, 172) = 1.
Given numbers are 816, 987, 172
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 987 are 3 x 7 x 47
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 816, 987, 172 using LCM Formula
Given numbers are 816, 987, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 987) = 268464
GCD(816, 987) = ( 816 x 987 ) / 268464
= 816 / 987
= 816
Step2:
LCM(3, 172) = 516
GCD(3, 172) = ( 3 x 172 ) / 516
= 3 / 172
= 3
So, Greatest Common Divisor of 816, 987, 172 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 816, 987, 172
Given numbers are 816, 987, 172
The greatest common divisor of numbers 816, 987, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 987, 172 is 1.
FAQs on GCD of 816, 987, 172 Calculator
1. What is the GCD of 816, 987, 172?
GCD of given numbers 816, 987, 172 is 1
2. How to calculate the greatest common divisor of 816, 987, 172?
We can find the highest common divisor of 816, 987, 172 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 816, 987, 172 i.e 1.
3. How can I use the GCD of 816, 987, 172Calculator?
Out the numbers 816, 987, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.