GCD of 989, 205, 652 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 989, 205, 652 quickly. Get the easiest ways to solve the greatest common divisor of 989, 205, 652 i.e 1 in different methods as follows.
Given Input numbers are 989, 205, 652
In the factoring method, we have to find the divisors of all numbers
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (989, 205, 652) = 1.
Given numbers are 989, 205, 652
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 205 are 5 x 41
Prime factors of 652 are 2 x 2 x 163
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 989, 205, 652 using LCM Formula
Given numbers are 989, 205, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 205) = 202745
GCD(989, 205) = ( 989 x 205 ) / 202745
= 989 / 205
= 989
Step2:
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
= 1 / 652
= 1
So, Greatest Common Divisor of 989, 205, 652 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 989, 205, 652
Given numbers are 989, 205, 652
The greatest common divisor of numbers 989, 205, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 205, 652 is 1.
FAQs on GCD of 989, 205, 652 Calculator
1. What is the GCD of 989, 205, 652?
GCD of given numbers 989, 205, 652 is 1
2. How to calculate the greatest common divisor of 989, 205, 652?
We can find the highest common divisor of 989, 205, 652 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 989, 205, 652 i.e 1.
3. How can I use the GCD of 989, 205, 652Calculator?
Out the numbers 989, 205, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.