GCD of 400, 312, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 400, 312, 420 quickly. Get the easiest ways to solve the greatest common divisor of 400, 312, 420 i.e 4 in different methods as follows.
Given Input numbers are 400, 312, 420
In the factoring method, we have to find the divisors of all numbers
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 (400, 312, 420) = 4.
Given numbers are 400, 312, 420
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 400, 312, 420 is 4.
Steps to Calculate GCD of 400, 312, 420 using LCM Formula
Given numbers are 400, 312, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 312) = 15600
GCD(400, 312) = ( 400 x 312 ) / 15600
= 400 / 312
= 400
Step2:
LCM(8, 420) = 840
GCD(8, 420) = ( 8 x 420 ) / 840
= 8 / 420
= 8
So, Greatest Common Divisor of 400, 312, 420 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 400, 312, 420
Given numbers are 400, 312, 420
The greatest common divisor of numbers 400, 312, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 312, 420 is 4.
FAQs on GCD of 400, 312, 420 Calculator
1. What is the GCD of 400, 312, 420?
GCD of given numbers 400, 312, 420 is 4
2. How to calculate the greatest common divisor of 400, 312, 420?
We can find the highest common divisor of 400, 312, 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 400, 312, 420 i.e 4.
3. How can I use the GCD of 400, 312, 420Calculator?
Out the numbers 400, 312, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.