GCD of 58, 76, 42, 12 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 58, 76, 42, 12 quickly. Get the easiest ways to solve the greatest common divisor of 58, 76, 42, 12 i.e 2 in different methods as follows.
Given Input numbers are 58, 76, 42, 12
In the factoring method, we have to find the divisors of all numbers
Divisors of 58 :
The positive integer divisors of 58 that completely divides 58 are.
1, 2, 29, 58
Divisors of 76 :
The positive integer divisors of 76 that completely divides 76 are.
1, 2, 4, 19, 38, 76
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
GCD of numbers is the greatest common divisor
So, the GCD (58, 76, 42, 12) = 2.
Given numbers are 58, 76, 42, 12
The list of prime factors of all numbers are
Prime factors of 58 are 2 x 29
Prime factors of 76 are 2 x 2 x 19
Prime factors of 42 are 2 x 3 x 7
Prime factors of 12 are 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 58, 76, 42, 12 is 2.
Steps to Calculate GCD of 58, 76, 42, 12 using LCM Formula
Given numbers are 58, 76, 42, 12
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(58, 76) = 2204
GCD(58, 76) = ( 58 x 76 ) / 2204
= 58 / 76
= 58
Step2:
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
= 2 / 42
= 2
Step3:
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
= 2 / 12
= 2
So, Greatest Common Divisor of 58, 76, 42, 12 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 58, 76, 42, 12
Given numbers are 58, 76, 42, 12
The greatest common divisor of numbers 58, 76, 42, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 58, 76, 42, 12 is 2.
FAQs on GCD of 58, 76, 42, 12 Calculator
1. What is the GCD of 58, 76, 42, 12?
GCD of given numbers 58, 76, 42, 12 is 2
2. How to calculate the greatest common divisor of 58, 76, 42, 12?
We can find the highest common divisor of 58, 76, 42, 12 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 58, 76, 42, 12 i.e 2.
3. How can I use the GCD of 58, 76, 42, 12Calculator?
Out the numbers 58, 76, 42, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.