Online GCD Calculator is useful to find the GCD of 225, 975, 681, 400 quickly. Get the easiest ways to solve the greatest common divisor of 225, 975, 681, 400 i.e 1 in different methods as follows.
Given Input numbers are 225, 975, 681, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
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 (225, 975, 681, 400) = 1.
Given numbers are 225, 975, 681, 400
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 681 are 3 x 227
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 225, 975, 681, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 975) = 2925
GCD(225, 975) = ( 225 x 975 ) / 2925
= 225 / 975
= 225
Step2:
LCM(75, 681) = 17025
GCD(75, 681) = ( 75 x 681 ) / 17025
= 75 / 681
= 75
Step3:
LCM(3, 400) = 1200
GCD(3, 400) = ( 3 x 400 ) / 1200
= 3 / 400
= 3
So, Greatest Common Divisor of 225, 975, 681, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 975, 681, 400
The greatest common divisor of numbers 225, 975, 681, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 975, 681, 400 is 1.
1. What is the GCD of 225, 975, 681, 400?
GCD of given numbers 225, 975, 681, 400 is 1
2. How to calculate the greatest common divisor of 225, 975, 681, 400?
We can find the highest common divisor of 225, 975, 681, 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 225, 975, 681, 400 i.e 1.
3. How can I use the GCD of 225, 975, 681, 400Calculator?
Out the numbers 225, 975, 681, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.