GCD of 989, 172, 382, 302 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 989, 172, 382, 302 quickly. Get the easiest ways to solve the greatest common divisor of 989, 172, 382, 302 i.e 1 in different methods as follows.
Given Input numbers are 989, 172, 382, 302
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (989, 172, 382, 302) = 1.
Given numbers are 989, 172, 382, 302
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 172 are 2 x 2 x 43
Prime factors of 382 are 2 x 191
Prime factors of 302 are 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 989, 172, 382, 302 using LCM Formula
Given numbers are 989, 172, 382, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 172) = 3956
GCD(989, 172) = ( 989 x 172 ) / 3956
= 989 / 172
= 989
Step2:
LCM(43, 382) = 16426
GCD(43, 382) = ( 43 x 382 ) / 16426
= 43 / 382
= 43
Step3:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
So, Greatest Common Divisor of 989, 172, 382, 302 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 989, 172, 382, 302
Given numbers are 989, 172, 382, 302
The greatest common divisor of numbers 989, 172, 382, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 172, 382, 302 is 1.
FAQs on GCD of 989, 172, 382, 302 Calculator
1. What is the GCD of 989, 172, 382, 302?
GCD of given numbers 989, 172, 382, 302 is 1
2. How to calculate the greatest common divisor of 989, 172, 382, 302?
We can find the highest common divisor of 989, 172, 382, 302 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, 172, 382, 302 i.e 1.
3. How can I use the GCD of 989, 172, 382, 302Calculator?
Out the numbers 989, 172, 382, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.