Online GCD Calculator is useful to find the GCD of 900, 661, 144, 420 quickly. Get the easiest ways to solve the greatest common divisor of 900, 661, 144, 420 i.e 1 in different methods as follows.
Given Input numbers are 900, 661, 144, 420
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 661 :
The positive integer divisors of 661 that completely divides 661 are.
1, 661
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (900, 661, 144, 420) = 1.
Given numbers are 900, 661, 144, 420
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 661 are 661
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 661, 144, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 661) = 594900
GCD(900, 661) = ( 900 x 661 ) / 594900
= 900 / 661
= 900
Step2:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 900, 661, 144, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 661, 144, 420
The greatest common divisor of numbers 900, 661, 144, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 661, 144, 420 is 1.
1. What is the GCD of 900, 661, 144, 420?
GCD of given numbers 900, 661, 144, 420 is 1
2. How to calculate the greatest common divisor of 900, 661, 144, 420?
We can find the highest common divisor of 900, 661, 144, 420 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, 661, 144, 420 i.e 1.
3. How can I use the GCD of 900, 661, 144, 420Calculator?
Out the numbers 900, 661, 144, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.