Online GCD Calculator is useful to find the GCD of 285, 734, 600, 675 quickly. Get the easiest ways to solve the greatest common divisor of 285, 734, 600, 675 i.e 1 in different methods as follows.
Given Input numbers are 285, 734, 600, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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
GCD of numbers is the greatest common divisor
So, the GCD (285, 734, 600, 675) = 1.
Given numbers are 285, 734, 600, 675
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 734 are 2 x 367
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 285, 734, 600, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 734) = 209190
GCD(285, 734) = ( 285 x 734 ) / 209190
= 285 / 734
= 285
Step2:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 285, 734, 600, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 734, 600, 675
The greatest common divisor of numbers 285, 734, 600, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 734, 600, 675 is 1.
1. What is the GCD of 285, 734, 600, 675?
GCD of given numbers 285, 734, 600, 675 is 1
2. How to calculate the greatest common divisor of 285, 734, 600, 675?
We can find the highest common divisor of 285, 734, 600, 675 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 285, 734, 600, 675 i.e 1.
3. How can I use the GCD of 285, 734, 600, 675Calculator?
Out the numbers 285, 734, 600, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.