Online GCD Calculator is useful to find the GCD of 164, 764, 748, 135 quickly. Get the easiest ways to solve the greatest common divisor of 164, 764, 748, 135 i.e 1 in different methods as follows.
Given Input numbers are 164, 764, 748, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 (164, 764, 748, 135) = 1.
Given numbers are 164, 764, 748, 135
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 764 are 2 x 2 x 191
Prime factors of 748 are 2 x 2 x 11 x 17
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 164, 764, 748, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 764) = 31324
GCD(164, 764) = ( 164 x 764 ) / 31324
= 164 / 764
= 164
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 135) = 540
GCD(4, 135) = ( 4 x 135 ) / 540
= 4 / 135
= 4
So, Greatest Common Divisor of 164, 764, 748, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 764, 748, 135
The greatest common divisor of numbers 164, 764, 748, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 764, 748, 135 is 1.
1. What is the GCD of 164, 764, 748, 135?
GCD of given numbers 164, 764, 748, 135 is 1
2. How to calculate the greatest common divisor of 164, 764, 748, 135?
We can find the highest common divisor of 164, 764, 748, 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 164, 764, 748, 135 i.e 1.
3. How can I use the GCD of 164, 764, 748, 135Calculator?
Out the numbers 164, 764, 748, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.