Online GCD Calculator is useful to find the GCD of 675, 324, 687, 175 quickly. Get the easiest ways to solve the greatest common divisor of 675, 324, 687, 175 i.e 1 in different methods as follows.
Given Input numbers are 675, 324, 687, 175
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 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (675, 324, 687, 175) = 1.
Given numbers are 675, 324, 687, 175
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 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 687 are 3 x 229
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 324, 687, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 324) = 8100
GCD(675, 324) = ( 675 x 324 ) / 8100
= 675 / 324
= 675
Step2:
LCM(27, 687) = 6183
GCD(27, 687) = ( 27 x 687 ) / 6183
= 27 / 687
= 27
Step3:
LCM(3, 175) = 525
GCD(3, 175) = ( 3 x 175 ) / 525
= 3 / 175
= 3
So, Greatest Common Divisor of 675, 324, 687, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 324, 687, 175
The greatest common divisor of numbers 675, 324, 687, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 324, 687, 175 is 1.
1. What is the GCD of 675, 324, 687, 175?
GCD of given numbers 675, 324, 687, 175 is 1
2. How to calculate the greatest common divisor of 675, 324, 687, 175?
We can find the highest common divisor of 675, 324, 687, 175 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, 324, 687, 175 i.e 1.
3. How can I use the GCD of 675, 324, 687, 175Calculator?
Out the numbers 675, 324, 687, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.