Online GCD Calculator is useful to find the GCD of 289, 472, 228, 400 quickly. Get the easiest ways to solve the greatest common divisor of 289, 472, 228, 400 i.e 1 in different methods as follows.
Given Input numbers are 289, 472, 228, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
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 (289, 472, 228, 400) = 1.
Given numbers are 289, 472, 228, 400
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 472, 228, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 472) = 136408
GCD(289, 472) = ( 289 x 472 ) / 136408
= 289 / 472
= 289
Step2:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 289, 472, 228, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 472, 228, 400
The greatest common divisor of numbers 289, 472, 228, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 472, 228, 400 is 1.
1. What is the GCD of 289, 472, 228, 400?
GCD of given numbers 289, 472, 228, 400 is 1
2. How to calculate the greatest common divisor of 289, 472, 228, 400?
We can find the highest common divisor of 289, 472, 228, 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 289, 472, 228, 400 i.e 1.
3. How can I use the GCD of 289, 472, 228, 400Calculator?
Out the numbers 289, 472, 228, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.