GCD of 672, 406, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 672, 406, 420 quickly. Get the easiest ways to solve the greatest common divisor of 672, 406, 420 i.e 14 in different methods as follows.
Given Input numbers are 672, 406, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
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
GCD of numbers is the greatest common divisor
So, the GCD (672, 406, 420) = 14.
Given numbers are 672, 406, 420
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 406 are 2 x 7 x 29
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 672, 406, 420 is 14.
Steps to Calculate GCD of 672, 406, 420 using LCM Formula
Given numbers are 672, 406, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 406) = 19488
GCD(672, 406) = ( 672 x 406 ) / 19488
= 672 / 406
= 672
Step2:
LCM(14, 420) = 420
GCD(14, 420) = ( 14 x 420 ) / 420
= 14 / 420
= 14
So, Greatest Common Divisor of 672, 406, 420 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 672, 406, 420
Given numbers are 672, 406, 420
The greatest common divisor of numbers 672, 406, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 406, 420 is 14.
FAQs on GCD of 672, 406, 420 Calculator
1. What is the GCD of 672, 406, 420?
GCD of given numbers 672, 406, 420 is 14
2. How to calculate the greatest common divisor of 672, 406, 420?
We can find the highest common divisor of 672, 406, 420 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 672, 406, 420 i.e 14.
3. How can I use the GCD of 672, 406, 420Calculator?
Out the numbers 672, 406, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.