GCD of 338, 986, 17, 921 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 338, 986, 17, 921 quickly. Get the easiest ways to solve the greatest common divisor of 338, 986, 17, 921 i.e 1 in different methods as follows.
Given Input numbers are 338, 986, 17, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (338, 986, 17, 921) = 1.
Given numbers are 338, 986, 17, 921
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 986 are 2 x 17 x 29
Prime factors of 17 are 17
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 338, 986, 17, 921 using LCM Formula
Given numbers are 338, 986, 17, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 986) = 166634
GCD(338, 986) = ( 338 x 986 ) / 166634
= 338 / 986
= 338
Step2:
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
= 2 / 17
= 2
Step3:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
So, Greatest Common Divisor of 338, 986, 17, 921 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 338, 986, 17, 921
Given numbers are 338, 986, 17, 921
The greatest common divisor of numbers 338, 986, 17, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 986, 17, 921 is 1.
FAQs on GCD of 338, 986, 17, 921 Calculator
1. What is the GCD of 338, 986, 17, 921?
GCD of given numbers 338, 986, 17, 921 is 1
2. How to calculate the greatest common divisor of 338, 986, 17, 921?
We can find the highest common divisor of 338, 986, 17, 921 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 338, 986, 17, 921 i.e 1.
3. How can I use the GCD of 338, 986, 17, 921Calculator?
Out the numbers 338, 986, 17, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.