Online GCD Calculator is useful to find the GCD of 270, 465, 762, 885 quickly. Get the easiest ways to solve the greatest common divisor of 270, 465, 762, 885 i.e 3 in different methods as follows.
Given Input numbers are 270, 465, 762, 885
In the factoring method, we have to find the divisors of all numbers
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
GCD of numbers is the greatest common divisor
So, the GCD (270, 465, 762, 885) = 3.
Given numbers are 270, 465, 762, 885
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 465 are 3 x 5 x 31
Prime factors of 762 are 2 x 3 x 127
Prime factors of 885 are 3 x 5 x 59
The highest common occurrence is 31
Therefore, GCD of 270, 465, 762, 885 is 3.
Given numbers are 270, 465, 762, 885
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 465) = 8370
GCD(270, 465) = ( 270 x 465 ) / 8370
= 270 / 465
= 270
Step2:
LCM(15, 762) = 3810
GCD(15, 762) = ( 15 x 762 ) / 3810
= 15 / 762
= 15
Step3:
LCM(3, 885) = 885
GCD(3, 885) = ( 3 x 885 ) / 885
= 3 / 885
= 3
So, Greatest Common Divisor of 270, 465, 762, 885 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 465, 762, 885
The greatest common divisor of numbers 270, 465, 762, 885 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 465, 762, 885 is 3.
1. What is the GCD of 270, 465, 762, 885?
GCD of given numbers 270, 465, 762, 885 is 3
2. How to calculate the greatest common divisor of 270, 465, 762, 885?
We can find the highest common divisor of 270, 465, 762, 885 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 270, 465, 762, 885 i.e 3.
3. How can I use the GCD of 270, 465, 762, 885Calculator?
Out the numbers 270, 465, 762, 885 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.