GCD of 840, 400, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 840, 400, 420 quickly. Get the easiest ways to solve the greatest common divisor of 840, 400, 420 i.e 20 in different methods as follows.
Given Input numbers are 840, 400, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 (840, 400, 420) = 20.
Given numbers are 840, 400, 420
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22 x 51
Therefore, GCD of 840, 400, 420 is 20.
Steps to Calculate GCD of 840, 400, 420 using LCM Formula
Given numbers are 840, 400, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 400) = 8400
GCD(840, 400) = ( 840 x 400 ) / 8400
= 840 / 400
= 840
Step2:
LCM(40, 420) = 840
GCD(40, 420) = ( 40 x 420 ) / 840
= 40 / 420
= 40
So, Greatest Common Divisor of 840, 400, 420 is 20
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 840, 400, 420
Given numbers are 840, 400, 420
The greatest common divisor of numbers 840, 400, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 400, 420 is 20.
FAQs on GCD of 840, 400, 420 Calculator
1. What is the GCD of 840, 400, 420?
GCD of given numbers 840, 400, 420 is 20
2. How to calculate the greatest common divisor of 840, 400, 420?
We can find the highest common divisor of 840, 400, 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 840, 400, 420 i.e 20.
3. How can I use the GCD of 840, 400, 420Calculator?
Out the numbers 840, 400, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.