GCD of 987, 417, 20 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 987, 417, 20 quickly. Get the easiest ways to solve the greatest common divisor of 987, 417, 20 i.e 1 in different methods as follows.
Given Input numbers are 987, 417, 20
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 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
GCD of numbers is the greatest common divisor
So, the GCD (987, 417, 20) = 1.
Given numbers are 987, 417, 20
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 417 are 3 x 139
Prime factors of 20 are 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 987, 417, 20 using LCM Formula
Given numbers are 987, 417, 20
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 417) = 137193
GCD(987, 417) = ( 987 x 417 ) / 137193
= 987 / 417
= 987
Step2:
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
= 3 / 20
= 3
So, Greatest Common Divisor of 987, 417, 20 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 987, 417, 20
Given numbers are 987, 417, 20
The greatest common divisor of numbers 987, 417, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 417, 20 is 1.
FAQs on GCD of 987, 417, 20 Calculator
1. What is the GCD of 987, 417, 20?
GCD of given numbers 987, 417, 20 is 1
2. How to calculate the greatest common divisor of 987, 417, 20?
We can find the highest common divisor of 987, 417, 20 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, 417, 20 i.e 1.
3. How can I use the GCD of 987, 417, 20Calculator?
Out the numbers 987, 417, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.