Online GCD Calculator is useful to find the GCD of 470, 638, 361, 135 quickly. Get the easiest ways to solve the greatest common divisor of 470, 638, 361, 135 i.e 1 in different methods as follows.
Given Input numbers are 470, 638, 361, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (470, 638, 361, 135) = 1.
Given numbers are 470, 638, 361, 135
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 638 are 2 x 11 x 29
Prime factors of 361 are 19 x 19
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 470, 638, 361, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 638) = 149930
GCD(470, 638) = ( 470 x 638 ) / 149930
= 470 / 638
= 470
Step2:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 470, 638, 361, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 638, 361, 135
The greatest common divisor of numbers 470, 638, 361, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 638, 361, 135 is 1.
1. What is the GCD of 470, 638, 361, 135?
GCD of given numbers 470, 638, 361, 135 is 1
2. How to calculate the greatest common divisor of 470, 638, 361, 135?
We can find the highest common divisor of 470, 638, 361, 135 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 470, 638, 361, 135 i.e 1.
3. How can I use the GCD of 470, 638, 361, 135Calculator?
Out the numbers 470, 638, 361, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.