GCD of 458, 688, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 458, 688, 138 quickly. Get the easiest ways to solve the greatest common divisor of 458, 688, 138 i.e 2 in different methods as follows.
Given Input numbers are 458, 688, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (458, 688, 138) = 2.
Given numbers are 458, 688, 138
The list of prime factors of all numbers are
Prime factors of 458 are 2 x 229
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 458, 688, 138 is 2.
Steps to Calculate GCD of 458, 688, 138 using LCM Formula
Given numbers are 458, 688, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(458, 688) = 157552
GCD(458, 688) = ( 458 x 688 ) / 157552
= 458 / 688
= 458
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 458, 688, 138 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 458, 688, 138
Given numbers are 458, 688, 138
The greatest common divisor of numbers 458, 688, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 688, 138 is 2.
FAQs on GCD of 458, 688, 138 Calculator
1. What is the GCD of 458, 688, 138?
GCD of given numbers 458, 688, 138 is 2
2. How to calculate the greatest common divisor of 458, 688, 138?
We can find the highest common divisor of 458, 688, 138 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 458, 688, 138 i.e 2.
3. How can I use the GCD of 458, 688, 138Calculator?
Out the numbers 458, 688, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.