Online GCD Calculator is useful to find the GCD of 270, 356, 956 quickly. Get the easiest ways to solve the greatest common divisor of 270, 356, 956 i.e 2 in different methods as follows.
Given Input numbers are 270, 356, 956
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 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (270, 356, 956) = 2.
Given numbers are 270, 356, 956
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 356 are 2 x 2 x 89
Prime factors of 956 are 2 x 2 x 239
The highest common occurrence is 21
Therefore, GCD of 270, 356, 956 is 2.
Given numbers are 270, 356, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 356) = 48060
GCD(270, 356) = ( 270 x 356 ) / 48060
= 270 / 356
= 270
Step2:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
So, Greatest Common Divisor of 270, 356, 956 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 356, 956
The greatest common divisor of numbers 270, 356, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 356, 956 is 2.
1. What is the GCD of 270, 356, 956?
GCD of given numbers 270, 356, 956 is 2
2. How to calculate the greatest common divisor of 270, 356, 956?
We can find the highest common divisor of 270, 356, 956 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, 356, 956 i.e 2.
3. How can I use the GCD of 270, 356, 956Calculator?
Out the numbers 270, 356, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.