GCD of 932, 138, 174, 123 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 932, 138, 174, 123 quickly. Get the easiest ways to solve the greatest common divisor of 932, 138, 174, 123 i.e 1 in different methods as follows.
Given Input numbers are 932, 138, 174, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (932, 138, 174, 123) = 1.
Given numbers are 932, 138, 174, 123
The list of prime factors of all numbers are
Prime factors of 932 are 2 x 2 x 233
Prime factors of 138 are 2 x 3 x 23
Prime factors of 174 are 2 x 3 x 29
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 932, 138, 174, 123 using LCM Formula
Given numbers are 932, 138, 174, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(932, 138) = 64308
GCD(932, 138) = ( 932 x 138 ) / 64308
= 932 / 138
= 932
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
= 2 / 123
= 2
So, Greatest Common Divisor of 932, 138, 174, 123 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 932, 138, 174, 123
Given numbers are 932, 138, 174, 123
The greatest common divisor of numbers 932, 138, 174, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 932, 138, 174, 123 is 1.
FAQs on GCD of 932, 138, 174, 123 Calculator
1. What is the GCD of 932, 138, 174, 123?
GCD of given numbers 932, 138, 174, 123 is 1
2. How to calculate the greatest common divisor of 932, 138, 174, 123?
We can find the highest common divisor of 932, 138, 174, 123 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 932, 138, 174, 123 i.e 1.
3. How can I use the GCD of 932, 138, 174, 123Calculator?
Out the numbers 932, 138, 174, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.