Online GCD Calculator is useful to find the GCD of 135, 252, 522, 338 quickly. Get the easiest ways to solve the greatest common divisor of 135, 252, 522, 338 i.e 1 in different methods as follows.
Given Input numbers are 135, 252, 522, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (135, 252, 522, 338) = 1.
Given numbers are 135, 252, 522, 338
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 252, 522, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 252) = 3780
GCD(135, 252) = ( 135 x 252 ) / 3780
= 135 / 252
= 135
Step2:
LCM(9, 522) = 522
GCD(9, 522) = ( 9 x 522 ) / 522
= 9 / 522
= 9
Step3:
LCM(9, 338) = 3042
GCD(9, 338) = ( 9 x 338 ) / 3042
= 9 / 338
= 9
So, Greatest Common Divisor of 135, 252, 522, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 252, 522, 338
The greatest common divisor of numbers 135, 252, 522, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 252, 522, 338 is 1.
1. What is the GCD of 135, 252, 522, 338?
GCD of given numbers 135, 252, 522, 338 is 1
2. How to calculate the greatest common divisor of 135, 252, 522, 338?
We can find the highest common divisor of 135, 252, 522, 338 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 135, 252, 522, 338 i.e 1.
3. How can I use the GCD of 135, 252, 522, 338Calculator?
Out the numbers 135, 252, 522, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.