Online GCD Calculator is useful to find the GCD of 675, 987, 936, 523 quickly. Get the easiest ways to solve the greatest common divisor of 675, 987, 936, 523 i.e 1 in different methods as follows.
Given Input numbers are 675, 987, 936, 523
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
GCD of numbers is the greatest common divisor
So, the GCD (675, 987, 936, 523) = 1.
Given numbers are 675, 987, 936, 523
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 987 are 3 x 7 x 47
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 523 are 523
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 987, 936, 523
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 987) = 222075
GCD(675, 987) = ( 675 x 987 ) / 222075
= 675 / 987
= 675
Step2:
LCM(3, 936) = 936
GCD(3, 936) = ( 3 x 936 ) / 936
= 3 / 936
= 3
Step3:
LCM(3, 523) = 1569
GCD(3, 523) = ( 3 x 523 ) / 1569
= 3 / 523
= 3
So, Greatest Common Divisor of 675, 987, 936, 523 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 987, 936, 523
The greatest common divisor of numbers 675, 987, 936, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 987, 936, 523 is 1.
1. What is the GCD of 675, 987, 936, 523?
GCD of given numbers 675, 987, 936, 523 is 1
2. How to calculate the greatest common divisor of 675, 987, 936, 523?
We can find the highest common divisor of 675, 987, 936, 523 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 675, 987, 936, 523 i.e 1.
3. How can I use the GCD of 675, 987, 936, 523Calculator?
Out the numbers 675, 987, 936, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.