Online GCD Calculator is useful to find the GCD of 900, 297, 965, 957 quickly. Get the easiest ways to solve the greatest common divisor of 900, 297, 965, 957 i.e 1 in different methods as follows.
Given Input numbers are 900, 297, 965, 957
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (900, 297, 965, 957) = 1.
Given numbers are 900, 297, 965, 957
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 297 are 3 x 3 x 3 x 11
Prime factors of 965 are 5 x 193
Prime factors of 957 are 3 x 11 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 297, 965, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 297) = 29700
GCD(900, 297) = ( 900 x 297 ) / 29700
= 900 / 297
= 900
Step2:
LCM(9, 965) = 8685
GCD(9, 965) = ( 9 x 965 ) / 8685
= 9 / 965
= 9
Step3:
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
= 1 / 957
= 1
So, Greatest Common Divisor of 900, 297, 965, 957 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 297, 965, 957
The greatest common divisor of numbers 900, 297, 965, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 297, 965, 957 is 1.
1. What is the GCD of 900, 297, 965, 957?
GCD of given numbers 900, 297, 965, 957 is 1
2. How to calculate the greatest common divisor of 900, 297, 965, 957?
We can find the highest common divisor of 900, 297, 965, 957 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, 297, 965, 957 i.e 1.
3. How can I use the GCD of 900, 297, 965, 957Calculator?
Out the numbers 900, 297, 965, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.