GCD of 335, 112, 412, 123 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 335, 112, 412, 123 quickly. Get the easiest ways to solve the greatest common divisor of 335, 112, 412, 123 i.e 1 in different methods as follows.
Given Input numbers are 335, 112, 412, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
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 (335, 112, 412, 123) = 1.
Given numbers are 335, 112, 412, 123
The list of prime factors of all numbers are
Prime factors of 335 are 5 x 67
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 412 are 2 x 2 x 103
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 335, 112, 412, 123 using LCM Formula
Given numbers are 335, 112, 412, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(335, 112) = 37520
GCD(335, 112) = ( 335 x 112 ) / 37520
= 335 / 112
= 335
Step2:
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
= 1 / 412
= 1
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 335, 112, 412, 123 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 335, 112, 412, 123
Given numbers are 335, 112, 412, 123
The greatest common divisor of numbers 335, 112, 412, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 335, 112, 412, 123 is 1.
FAQs on GCD of 335, 112, 412, 123 Calculator
1. What is the GCD of 335, 112, 412, 123?
GCD of given numbers 335, 112, 412, 123 is 1
2. How to calculate the greatest common divisor of 335, 112, 412, 123?
We can find the highest common divisor of 335, 112, 412, 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 335, 112, 412, 123 i.e 1.
3. How can I use the GCD of 335, 112, 412, 123Calculator?
Out the numbers 335, 112, 412, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.