Online GCD Calculator is useful to find the GCD of 708, 177, 825, 324 quickly. Get the easiest ways to solve the greatest common divisor of 708, 177, 825, 324 i.e 3 in different methods as follows.
Given Input numbers are 708, 177, 825, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
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 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
GCD of numbers is the greatest common divisor
So, the GCD (708, 177, 825, 324) = 3.
Given numbers are 708, 177, 825, 324
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 177 are 3 x 59
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 708, 177, 825, 324 is 3.
Given numbers are 708, 177, 825, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 177) = 708
GCD(708, 177) = ( 708 x 177 ) / 708
= 708 / 177
= 708
Step2:
LCM(177, 825) = 48675
GCD(177, 825) = ( 177 x 825 ) / 48675
= 177 / 825
= 177
Step3:
LCM(3, 324) = 324
GCD(3, 324) = ( 3 x 324 ) / 324
= 3 / 324
= 3
So, Greatest Common Divisor of 708, 177, 825, 324 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 177, 825, 324
The greatest common divisor of numbers 708, 177, 825, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 177, 825, 324 is 3.
1. What is the GCD of 708, 177, 825, 324?
GCD of given numbers 708, 177, 825, 324 is 3
2. How to calculate the greatest common divisor of 708, 177, 825, 324?
We can find the highest common divisor of 708, 177, 825, 324 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 708, 177, 825, 324 i.e 3.
3. How can I use the GCD of 708, 177, 825, 324Calculator?
Out the numbers 708, 177, 825, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.