GCD of 420, 910, 322 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 420, 910, 322 quickly. Get the easiest ways to solve the greatest common divisor of 420, 910, 322 i.e 14 in different methods as follows.
Given Input numbers are 420, 910, 322
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 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (420, 910, 322) = 14.
Given numbers are 420, 910, 322
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 910 are 2 x 5 x 7 x 13
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21 x 71
Therefore, GCD of 420, 910, 322 is 14.
Steps to Calculate GCD of 420, 910, 322 using LCM Formula
Given numbers are 420, 910, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 910) = 5460
GCD(420, 910) = ( 420 x 910 ) / 5460
= 420 / 910
= 420
Step2:
LCM(70, 322) = 1610
GCD(70, 322) = ( 70 x 322 ) / 1610
= 70 / 322
= 70
So, Greatest Common Divisor of 420, 910, 322 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 420, 910, 322
Given numbers are 420, 910, 322
The greatest common divisor of numbers 420, 910, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 910, 322 is 14.
FAQs on GCD of 420, 910, 322 Calculator
1. What is the GCD of 420, 910, 322?
GCD of given numbers 420, 910, 322 is 14
2. How to calculate the greatest common divisor of 420, 910, 322?
We can find the highest common divisor of 420, 910, 322 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, 910, 322 i.e 14.
3. How can I use the GCD of 420, 910, 322Calculator?
Out the numbers 420, 910, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.