GCD of 720, 276, 400 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 720, 276, 400 quickly. Get the easiest ways to solve the greatest common divisor of 720, 276, 400 i.e 4 in different methods as follows.
Given Input numbers are 720, 276, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
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 (720, 276, 400) = 4.
Given numbers are 720, 276, 400
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 720, 276, 400 is 4.
Steps to Calculate GCD of 720, 276, 400 using LCM Formula
Given numbers are 720, 276, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 276) = 16560
GCD(720, 276) = ( 720 x 276 ) / 16560
= 720 / 276
= 720
Step2:
LCM(12, 400) = 1200
GCD(12, 400) = ( 12 x 400 ) / 1200
= 12 / 400
= 12
So, Greatest Common Divisor of 720, 276, 400 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 720, 276, 400
Given numbers are 720, 276, 400
The greatest common divisor of numbers 720, 276, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 276, 400 is 4.
FAQs on GCD of 720, 276, 400 Calculator
1. What is the GCD of 720, 276, 400?
GCD of given numbers 720, 276, 400 is 4
2. How to calculate the greatest common divisor of 720, 276, 400?
We can find the highest common divisor of 720, 276, 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 720, 276, 400 i.e 4.
3. How can I use the GCD of 720, 276, 400Calculator?
Out the numbers 720, 276, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.