Online GCD Calculator is useful to find the GCD of 117, 225, 573, 957 quickly. Get the easiest ways to solve the greatest common divisor of 117, 225, 573, 957 i.e 3 in different methods as follows.
Given Input numbers are 117, 225, 573, 957
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
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 (117, 225, 573, 957) = 3.
Given numbers are 117, 225, 573, 957
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 573 are 3 x 191
Prime factors of 957 are 3 x 11 x 29
The highest common occurrence is 31
Therefore, GCD of 117, 225, 573, 957 is 3.
Given numbers are 117, 225, 573, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 225) = 2925
GCD(117, 225) = ( 117 x 225 ) / 2925
= 117 / 225
= 117
Step2:
LCM(9, 573) = 1719
GCD(9, 573) = ( 9 x 573 ) / 1719
= 9 / 573
= 9
Step3:
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
= 3 / 957
= 3
So, Greatest Common Divisor of 117, 225, 573, 957 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 225, 573, 957
The greatest common divisor of numbers 117, 225, 573, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 225, 573, 957 is 3.
1. What is the GCD of 117, 225, 573, 957?
GCD of given numbers 117, 225, 573, 957 is 3
2. How to calculate the greatest common divisor of 117, 225, 573, 957?
We can find the highest common divisor of 117, 225, 573, 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 117, 225, 573, 957 i.e 3.
3. How can I use the GCD of 117, 225, 573, 957Calculator?
Out the numbers 117, 225, 573, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.