Online GCD Calculator is useful to find the GCD of 522, 315, 175, 987 quickly. Get the easiest ways to solve the greatest common divisor of 522, 315, 175, 987 i.e 1 in different methods as follows.
Given Input numbers are 522, 315, 175, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
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 (522, 315, 175, 987) = 1.
Given numbers are 522, 315, 175, 987
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 175 are 5 x 5 x 7
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 522, 315, 175, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 315) = 18270
GCD(522, 315) = ( 522 x 315 ) / 18270
= 522 / 315
= 522
Step2:
LCM(9, 175) = 1575
GCD(9, 175) = ( 9 x 175 ) / 1575
= 9 / 175
= 9
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 522, 315, 175, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 315, 175, 987
The greatest common divisor of numbers 522, 315, 175, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 315, 175, 987 is 1.
1. What is the GCD of 522, 315, 175, 987?
GCD of given numbers 522, 315, 175, 987 is 1
2. How to calculate the greatest common divisor of 522, 315, 175, 987?
We can find the highest common divisor of 522, 315, 175, 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 522, 315, 175, 987 i.e 1.
3. How can I use the GCD of 522, 315, 175, 987Calculator?
Out the numbers 522, 315, 175, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.