Online GCD Calculator is useful to find the GCD of 400, 220, 544 quickly. Get the easiest ways to solve the greatest common divisor of 400, 220, 544 i.e 4 in different methods as follows.
Given Input numbers are 400, 220, 544
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
GCD of numbers is the greatest common divisor
So, the GCD (400, 220, 544) = 4.
Given numbers are 400, 220, 544
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 220 are 2 x 2 x 5 x 11
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
The highest common occurrence is 22
Therefore, GCD of 400, 220, 544 is 4.
Given numbers are 400, 220, 544
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 220) = 4400
GCD(400, 220) = ( 400 x 220 ) / 4400
= 400 / 220
= 400
Step2:
LCM(20, 544) = 2720
GCD(20, 544) = ( 20 x 544 ) / 2720
= 20 / 544
= 20
So, Greatest Common Divisor of 400, 220, 544 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 220, 544
The greatest common divisor of numbers 400, 220, 544 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 220, 544 is 4.
1. What is the GCD of 400, 220, 544?
GCD of given numbers 400, 220, 544 is 4
2. How to calculate the greatest common divisor of 400, 220, 544?
We can find the highest common divisor of 400, 220, 544 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, 220, 544 i.e 4.
3. How can I use the GCD of 400, 220, 544Calculator?
Out the numbers 400, 220, 544 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.