Online GCD Calculator is useful to find the GCD of 900, 400, 161, 660 quickly. Get the easiest ways to solve the greatest common divisor of 900, 400, 161, 660 i.e 1 in different methods as follows.
Given Input numbers are 900, 400, 161, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (900, 400, 161, 660) = 1.
Given numbers are 900, 400, 161, 660
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 161 are 7 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 400, 161, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 400) = 3600
GCD(900, 400) = ( 900 x 400 ) / 3600
= 900 / 400
= 900
Step2:
LCM(100, 161) = 16100
GCD(100, 161) = ( 100 x 161 ) / 16100
= 100 / 161
= 100
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 900, 400, 161, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 400, 161, 660
The greatest common divisor of numbers 900, 400, 161, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 400, 161, 660 is 1.
1. What is the GCD of 900, 400, 161, 660?
GCD of given numbers 900, 400, 161, 660 is 1
2. How to calculate the greatest common divisor of 900, 400, 161, 660?
We can find the highest common divisor of 900, 400, 161, 660 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 900, 400, 161, 660 i.e 1.
3. How can I use the GCD of 900, 400, 161, 660Calculator?
Out the numbers 900, 400, 161, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.