Online GCD Calculator is useful to find the GCD of 270, 220, 445, 687 quickly. Get the easiest ways to solve the greatest common divisor of 270, 220, 445, 687 i.e 1 in different methods as follows.
Given Input numbers are 270, 220, 445, 687
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 445 :
The positive integer divisors of 445 that completely divides 445 are.
1, 5, 89, 445
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (270, 220, 445, 687) = 1.
Given numbers are 270, 220, 445, 687
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 220 are 2 x 2 x 5 x 11
Prime factors of 445 are 5 x 89
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 220, 445, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 220) = 5940
GCD(270, 220) = ( 270 x 220 ) / 5940
= 270 / 220
= 270
Step2:
LCM(10, 445) = 890
GCD(10, 445) = ( 10 x 445 ) / 890
= 10 / 445
= 10
Step3:
LCM(5, 687) = 3435
GCD(5, 687) = ( 5 x 687 ) / 3435
= 5 / 687
= 5
So, Greatest Common Divisor of 270, 220, 445, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 220, 445, 687
The greatest common divisor of numbers 270, 220, 445, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 220, 445, 687 is 1.
1. What is the GCD of 270, 220, 445, 687?
GCD of given numbers 270, 220, 445, 687 is 1
2. How to calculate the greatest common divisor of 270, 220, 445, 687?
We can find the highest common divisor of 270, 220, 445, 687 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, 220, 445, 687 i.e 1.
3. How can I use the GCD of 270, 220, 445, 687Calculator?
Out the numbers 270, 220, 445, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.