Online GCD Calculator is useful to find the GCD of 825, 235, 570, 987 quickly. Get the easiest ways to solve the greatest common divisor of 825, 235, 570, 987 i.e 1 in different methods as follows.
Given Input numbers are 825, 235, 570, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (825, 235, 570, 987) = 1.
Given numbers are 825, 235, 570, 987
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 235 are 5 x 47
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 235, 570, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 235) = 38775
GCD(825, 235) = ( 825 x 235 ) / 38775
= 825 / 235
= 825
Step2:
LCM(5, 570) = 570
GCD(5, 570) = ( 5 x 570 ) / 570
= 5 / 570
= 5
Step3:
LCM(5, 987) = 4935
GCD(5, 987) = ( 5 x 987 ) / 4935
= 5 / 987
= 5
So, Greatest Common Divisor of 825, 235, 570, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 235, 570, 987
The greatest common divisor of numbers 825, 235, 570, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 235, 570, 987 is 1.
1. What is the GCD of 825, 235, 570, 987?
GCD of given numbers 825, 235, 570, 987 is 1
2. How to calculate the greatest common divisor of 825, 235, 570, 987?
We can find the highest common divisor of 825, 235, 570, 987 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 825, 235, 570, 987 i.e 1.
3. How can I use the GCD of 825, 235, 570, 987Calculator?
Out the numbers 825, 235, 570, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.