GCD of 123, 310, 75, 126 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 123, 310, 75, 126 quickly. Get the easiest ways to solve the greatest common divisor of 123, 310, 75, 126 i.e 1 in different methods as follows.
Given Input numbers are 123, 310, 75, 126
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (123, 310, 75, 126) = 1.
Given numbers are 123, 310, 75, 126
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 310 are 2 x 5 x 31
Prime factors of 75 are 3 x 5 x 5
Prime factors of 126 are 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 123, 310, 75, 126 using LCM Formula
Given numbers are 123, 310, 75, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 310) = 38130
GCD(123, 310) = ( 123 x 310 ) / 38130
= 123 / 310
= 123
Step2:
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
= 1 / 75
= 1
Step3:
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
= 1 / 126
= 1
So, Greatest Common Divisor of 123, 310, 75, 126 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 123, 310, 75, 126
Given numbers are 123, 310, 75, 126
The greatest common divisor of numbers 123, 310, 75, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 310, 75, 126 is 1.
FAQs on GCD of 123, 310, 75, 126 Calculator
1. What is the GCD of 123, 310, 75, 126?
GCD of given numbers 123, 310, 75, 126 is 1
2. How to calculate the greatest common divisor of 123, 310, 75, 126?
We can find the highest common divisor of 123, 310, 75, 126 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, 310, 75, 126 i.e 1.
3. How can I use the GCD of 123, 310, 75, 126Calculator?
Out the numbers 123, 310, 75, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.