Online GCD Calculator is useful to find the GCD of 702, 627, 591, 504 quickly. Get the easiest ways to solve the greatest common divisor of 702, 627, 591, 504 i.e 3 in different methods as follows.
Given Input numbers are 702, 627, 591, 504
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
GCD of numbers is the greatest common divisor
So, the GCD (702, 627, 591, 504) = 3.
Given numbers are 702, 627, 591, 504
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 627 are 3 x 11 x 19
Prime factors of 591 are 3 x 197
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 702, 627, 591, 504 is 3.
Given numbers are 702, 627, 591, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 627) = 146718
GCD(702, 627) = ( 702 x 627 ) / 146718
= 702 / 627
= 702
Step2:
LCM(3, 591) = 591
GCD(3, 591) = ( 3 x 591 ) / 591
= 3 / 591
= 3
Step3:
LCM(3, 504) = 504
GCD(3, 504) = ( 3 x 504 ) / 504
= 3 / 504
= 3
So, Greatest Common Divisor of 702, 627, 591, 504 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 627, 591, 504
The greatest common divisor of numbers 702, 627, 591, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 627, 591, 504 is 3.
1. What is the GCD of 702, 627, 591, 504?
GCD of given numbers 702, 627, 591, 504 is 3
2. How to calculate the greatest common divisor of 702, 627, 591, 504?
We can find the highest common divisor of 702, 627, 591, 504 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 702, 627, 591, 504 i.e 3.
3. How can I use the GCD of 702, 627, 591, 504Calculator?
Out the numbers 702, 627, 591, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.