GCD of 126, 440, 400 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 126, 440, 400 quickly. Get the easiest ways to solve the greatest common divisor of 126, 440, 400 i.e 2 in different methods as follows.
Given Input numbers are 126, 440, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
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
GCD of numbers is the greatest common divisor
So, the GCD (126, 440, 400) = 2.
Given numbers are 126, 440, 400
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 126, 440, 400 is 2.
Steps to Calculate GCD of 126, 440, 400 using LCM Formula
Given numbers are 126, 440, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 440) = 27720
GCD(126, 440) = ( 126 x 440 ) / 27720
= 126 / 440
= 126
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 126, 440, 400 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 126, 440, 400
Given numbers are 126, 440, 400
The greatest common divisor of numbers 126, 440, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 440, 400 is 2.
FAQs on GCD of 126, 440, 400 Calculator
1. What is the GCD of 126, 440, 400?
GCD of given numbers 126, 440, 400 is 2
2. How to calculate the greatest common divisor of 126, 440, 400?
We can find the highest common divisor of 126, 440, 400 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 126, 440, 400 i.e 2.
3. How can I use the GCD of 126, 440, 400Calculator?
Out the numbers 126, 440, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.