Online GCD Calculator is useful to find the GCD of 900, 521, 656, 724 quickly. Get the easiest ways to solve the greatest common divisor of 900, 521, 656, 724 i.e 1 in different methods as follows.
Given Input numbers are 900, 521, 656, 724
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 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (900, 521, 656, 724) = 1.
Given numbers are 900, 521, 656, 724
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 521 are 521
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 521, 656, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 521) = 468900
GCD(900, 521) = ( 900 x 521 ) / 468900
= 900 / 521
= 900
Step2:
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
= 1 / 656
= 1
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 900, 521, 656, 724 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 521, 656, 724
The greatest common divisor of numbers 900, 521, 656, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 521, 656, 724 is 1.
1. What is the GCD of 900, 521, 656, 724?
GCD of given numbers 900, 521, 656, 724 is 1
2. How to calculate the greatest common divisor of 900, 521, 656, 724?
We can find the highest common divisor of 900, 521, 656, 724 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, 521, 656, 724 i.e 1.
3. How can I use the GCD of 900, 521, 656, 724Calculator?
Out the numbers 900, 521, 656, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.