Online GCD Calculator is useful to find the GCD of 285, 291, 270, 372 quickly. Get the easiest ways to solve the greatest common divisor of 285, 291, 270, 372 i.e 3 in different methods as follows.
Given Input numbers are 285, 291, 270, 372
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 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
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 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (285, 291, 270, 372) = 3.
Given numbers are 285, 291, 270, 372
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 291 are 3 x 97
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 372 are 2 x 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 285, 291, 270, 372 is 3.
Given numbers are 285, 291, 270, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 291) = 27645
GCD(285, 291) = ( 285 x 291 ) / 27645
= 285 / 291
= 285
Step2:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
Step3:
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
= 3 / 372
= 3
So, Greatest Common Divisor of 285, 291, 270, 372 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 291, 270, 372
The greatest common divisor of numbers 285, 291, 270, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 291, 270, 372 is 3.
1. What is the GCD of 285, 291, 270, 372?
GCD of given numbers 285, 291, 270, 372 is 3
2. How to calculate the greatest common divisor of 285, 291, 270, 372?
We can find the highest common divisor of 285, 291, 270, 372 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, 291, 270, 372 i.e 3.
3. How can I use the GCD of 285, 291, 270, 372Calculator?
Out the numbers 285, 291, 270, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.