GCD of 460, 124, 42, 133 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 460, 124, 42, 133 quickly. Get the easiest ways to solve the greatest common divisor of 460, 124, 42, 133 i.e 1 in different methods as follows.
Given Input numbers are 460, 124, 42, 133
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (460, 124, 42, 133) = 1.
Given numbers are 460, 124, 42, 133
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 124 are 2 x 2 x 31
Prime factors of 42 are 2 x 3 x 7
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 460, 124, 42, 133 using LCM Formula
Given numbers are 460, 124, 42, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 124) = 14260
GCD(460, 124) = ( 460 x 124 ) / 14260
= 460 / 124
= 460
Step2:
LCM(4, 42) = 84
GCD(4, 42) = ( 4 x 42 ) / 84
= 4 / 42
= 4
Step3:
LCM(2, 133) = 266
GCD(2, 133) = ( 2 x 133 ) / 266
= 2 / 133
= 2
So, Greatest Common Divisor of 460, 124, 42, 133 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 460, 124, 42, 133
Given numbers are 460, 124, 42, 133
The greatest common divisor of numbers 460, 124, 42, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 124, 42, 133 is 1.
FAQs on GCD of 460, 124, 42, 133 Calculator
1. What is the GCD of 460, 124, 42, 133?
GCD of given numbers 460, 124, 42, 133 is 1
2. How to calculate the greatest common divisor of 460, 124, 42, 133?
We can find the highest common divisor of 460, 124, 42, 133 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 460, 124, 42, 133 i.e 1.
3. How can I use the GCD of 460, 124, 42, 133Calculator?
Out the numbers 460, 124, 42, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.