Online GCD Calculator is useful to find the GCD of 290, 468, 732, 135 quickly. Get the easiest ways to solve the greatest common divisor of 290, 468, 732, 135 i.e 1 in different methods as follows.
Given Input numbers are 290, 468, 732, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 (290, 468, 732, 135) = 1.
Given numbers are 290, 468, 732, 135
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 732 are 2 x 2 x 3 x 61
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 290, 468, 732, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 468) = 67860
GCD(290, 468) = ( 290 x 468 ) / 67860
= 290 / 468
= 290
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
So, Greatest Common Divisor of 290, 468, 732, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 468, 732, 135
The greatest common divisor of numbers 290, 468, 732, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 468, 732, 135 is 1.
1. What is the GCD of 290, 468, 732, 135?
GCD of given numbers 290, 468, 732, 135 is 1
2. How to calculate the greatest common divisor of 290, 468, 732, 135?
We can find the highest common divisor of 290, 468, 732, 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 290, 468, 732, 135 i.e 1.
3. How can I use the GCD of 290, 468, 732, 135Calculator?
Out the numbers 290, 468, 732, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.