GCD of 400, 312, 524 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 400, 312, 524 quickly. Get the easiest ways to solve the greatest common divisor of 400, 312, 524 i.e 4 in different methods as follows.
Given Input numbers are 400, 312, 524
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 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (400, 312, 524) = 4.
Given numbers are 400, 312, 524
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 524 are 2 x 2 x 131
The highest common occurrence is 22
Therefore, GCD of 400, 312, 524 is 4.
Steps to Calculate GCD of 400, 312, 524 using LCM Formula
Given numbers are 400, 312, 524
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, 524) = 1048
GCD(8, 524) = ( 8 x 524 ) / 1048
= 8 / 524
= 8
So, Greatest Common Divisor of 400, 312, 524 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 400, 312, 524
Given numbers are 400, 312, 524
The greatest common divisor of numbers 400, 312, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 312, 524 is 4.
FAQs on GCD of 400, 312, 524 Calculator
1. What is the GCD of 400, 312, 524?
GCD of given numbers 400, 312, 524 is 4
2. How to calculate the greatest common divisor of 400, 312, 524?
We can find the highest common divisor of 400, 312, 524 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, 524 i.e 4.
3. How can I use the GCD of 400, 312, 524Calculator?
Out the numbers 400, 312, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.