Online GCD Calculator is useful to find the GCD of 270, 287, 175, 121 quickly. Get the easiest ways to solve the greatest common divisor of 270, 287, 175, 121 i.e 1 in different methods as follows.
Given Input numbers are 270, 287, 175, 121
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 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (270, 287, 175, 121) = 1.
Given numbers are 270, 287, 175, 121
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 287 are 7 x 41
Prime factors of 175 are 5 x 5 x 7
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 287, 175, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 287) = 77490
GCD(270, 287) = ( 270 x 287 ) / 77490
= 270 / 287
= 270
Step2:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
Step3:
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
= 1 / 121
= 1
So, Greatest Common Divisor of 270, 287, 175, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 287, 175, 121
The greatest common divisor of numbers 270, 287, 175, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 287, 175, 121 is 1.
1. What is the GCD of 270, 287, 175, 121?
GCD of given numbers 270, 287, 175, 121 is 1
2. How to calculate the greatest common divisor of 270, 287, 175, 121?
We can find the highest common divisor of 270, 287, 175, 121 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, 287, 175, 121 i.e 1.
3. How can I use the GCD of 270, 287, 175, 121Calculator?
Out the numbers 270, 287, 175, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.