GCD of 138, 522, 339, 157 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 138, 522, 339, 157 quickly. Get the easiest ways to solve the greatest common divisor of 138, 522, 339, 157 i.e 1 in different methods as follows.
Given Input numbers are 138, 522, 339, 157
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
GCD of numbers is the greatest common divisor
So, the GCD (138, 522, 339, 157) = 1.
Given numbers are 138, 522, 339, 157
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 339 are 3 x 113
Prime factors of 157 are 157
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 138, 522, 339, 157 using LCM Formula
Given numbers are 138, 522, 339, 157
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 522) = 12006
GCD(138, 522) = ( 138 x 522 ) / 12006
= 138 / 522
= 138
Step2:
LCM(6, 339) = 678
GCD(6, 339) = ( 6 x 339 ) / 678
= 6 / 339
= 6
Step3:
LCM(3, 157) = 471
GCD(3, 157) = ( 3 x 157 ) / 471
= 3 / 157
= 3
So, Greatest Common Divisor of 138, 522, 339, 157 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 138, 522, 339, 157
Given numbers are 138, 522, 339, 157
The greatest common divisor of numbers 138, 522, 339, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 522, 339, 157 is 1.
FAQs on GCD of 138, 522, 339, 157 Calculator
1. What is the GCD of 138, 522, 339, 157?
GCD of given numbers 138, 522, 339, 157 is 1
2. How to calculate the greatest common divisor of 138, 522, 339, 157?
We can find the highest common divisor of 138, 522, 339, 157 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 138, 522, 339, 157 i.e 1.
3. How can I use the GCD of 138, 522, 339, 157Calculator?
Out the numbers 138, 522, 339, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.