GCD of 420, 726, 258 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 420, 726, 258 quickly. Get the easiest ways to solve the greatest common divisor of 420, 726, 258 i.e 6 in different methods as follows.
Given Input numbers are 420, 726, 258
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
GCD of numbers is the greatest common divisor
So, the GCD (420, 726, 258) = 6.
Given numbers are 420, 726, 258
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 258 are 2 x 3 x 43
The highest common occurrence is 21 x 31
Therefore, GCD of 420, 726, 258 is 6.
Steps to Calculate GCD of 420, 726, 258 using LCM Formula
Given numbers are 420, 726, 258
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 726) = 50820
GCD(420, 726) = ( 420 x 726 ) / 50820
= 420 / 726
= 420
Step2:
LCM(6, 258) = 258
GCD(6, 258) = ( 6 x 258 ) / 258
= 6 / 258
= 6
So, Greatest Common Divisor of 420, 726, 258 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 420, 726, 258
Given numbers are 420, 726, 258
The greatest common divisor of numbers 420, 726, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 726, 258 is 6.
FAQs on GCD of 420, 726, 258 Calculator
1. What is the GCD of 420, 726, 258?
GCD of given numbers 420, 726, 258 is 6
2. How to calculate the greatest common divisor of 420, 726, 258?
We can find the highest common divisor of 420, 726, 258 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 420, 726, 258 i.e 6.
3. How can I use the GCD of 420, 726, 258Calculator?
Out the numbers 420, 726, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.