GCD of 123, 368, 134, 978 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 123, 368, 134, 978 quickly. Get the easiest ways to solve the greatest common divisor of 123, 368, 134, 978 i.e 1 in different methods as follows.
Given Input numbers are 123, 368, 134, 978
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
GCD of numbers is the greatest common divisor
So, the GCD (123, 368, 134, 978) = 1.
Given numbers are 123, 368, 134, 978
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 134 are 2 x 67
Prime factors of 978 are 2 x 3 x 163
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 123, 368, 134, 978 using LCM Formula
Given numbers are 123, 368, 134, 978
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 368) = 45264
GCD(123, 368) = ( 123 x 368 ) / 45264
= 123 / 368
= 123
Step2:
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
= 1 / 134
= 1
Step3:
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
= 1 / 978
= 1
So, Greatest Common Divisor of 123, 368, 134, 978 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 123, 368, 134, 978
Given numbers are 123, 368, 134, 978
The greatest common divisor of numbers 123, 368, 134, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 368, 134, 978 is 1.
FAQs on GCD of 123, 368, 134, 978 Calculator
1. What is the GCD of 123, 368, 134, 978?
GCD of given numbers 123, 368, 134, 978 is 1
2. How to calculate the greatest common divisor of 123, 368, 134, 978?
We can find the highest common divisor of 123, 368, 134, 978 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 123, 368, 134, 978 i.e 1.
3. How can I use the GCD of 123, 368, 134, 978Calculator?
Out the numbers 123, 368, 134, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.