Online GCD Calculator is useful to find the GCD of 252, 231, 270, 755 quickly. Get the easiest ways to solve the greatest common divisor of 252, 231, 270, 755 i.e 1 in different methods as follows.
Given Input numbers are 252, 231, 270, 755
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
GCD of numbers is the greatest common divisor
So, the GCD (252, 231, 270, 755) = 1.
Given numbers are 252, 231, 270, 755
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 231 are 3 x 7 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 755 are 5 x 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 231, 270, 755
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 231) = 2772
GCD(252, 231) = ( 252 x 231 ) / 2772
= 252 / 231
= 252
Step2:
LCM(21, 270) = 1890
GCD(21, 270) = ( 21 x 270 ) / 1890
= 21 / 270
= 21
Step3:
LCM(3, 755) = 2265
GCD(3, 755) = ( 3 x 755 ) / 2265
= 3 / 755
= 3
So, Greatest Common Divisor of 252, 231, 270, 755 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 231, 270, 755
The greatest common divisor of numbers 252, 231, 270, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 231, 270, 755 is 1.
1. What is the GCD of 252, 231, 270, 755?
GCD of given numbers 252, 231, 270, 755 is 1
2. How to calculate the greatest common divisor of 252, 231, 270, 755?
We can find the highest common divisor of 252, 231, 270, 755 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 252, 231, 270, 755 i.e 1.
3. How can I use the GCD of 252, 231, 270, 755Calculator?
Out the numbers 252, 231, 270, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.