Online GCD Calculator is useful to find the GCD of 900, 904, 756, 971 quickly. Get the easiest ways to solve the greatest common divisor of 900, 904, 756, 971 i.e 1 in different methods as follows.
Given Input numbers are 900, 904, 756, 971
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
GCD of numbers is the greatest common divisor
So, the GCD (900, 904, 756, 971) = 1.
Given numbers are 900, 904, 756, 971
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 904 are 2 x 2 x 2 x 113
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 971 are 971
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 904, 756, 971
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 904) = 203400
GCD(900, 904) = ( 900 x 904 ) / 203400
= 900 / 904
= 900
Step2:
LCM(4, 756) = 756
GCD(4, 756) = ( 4 x 756 ) / 756
= 4 / 756
= 4
Step3:
LCM(4, 971) = 3884
GCD(4, 971) = ( 4 x 971 ) / 3884
= 4 / 971
= 4
So, Greatest Common Divisor of 900, 904, 756, 971 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 904, 756, 971
The greatest common divisor of numbers 900, 904, 756, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 904, 756, 971 is 1.
1. What is the GCD of 900, 904, 756, 971?
GCD of given numbers 900, 904, 756, 971 is 1
2. How to calculate the greatest common divisor of 900, 904, 756, 971?
We can find the highest common divisor of 900, 904, 756, 971 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, 904, 756, 971 i.e 1.
3. How can I use the GCD of 900, 904, 756, 971Calculator?
Out the numbers 900, 904, 756, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.