Online GCD Calculator is useful to find the GCD of 133, 540, 138, 747 quickly. Get the easiest ways to solve the greatest common divisor of 133, 540, 138, 747 i.e 1 in different methods as follows.
Given Input numbers are 133, 540, 138, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (133, 540, 138, 747) = 1.
Given numbers are 133, 540, 138, 747
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 138 are 2 x 3 x 23
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 540, 138, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 540) = 71820
GCD(133, 540) = ( 133 x 540 ) / 71820
= 133 / 540
= 133
Step2:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
Step3:
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
= 1 / 747
= 1
So, Greatest Common Divisor of 133, 540, 138, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 540, 138, 747
The greatest common divisor of numbers 133, 540, 138, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 540, 138, 747 is 1.
1. What is the GCD of 133, 540, 138, 747?
GCD of given numbers 133, 540, 138, 747 is 1
2. How to calculate the greatest common divisor of 133, 540, 138, 747?
We can find the highest common divisor of 133, 540, 138, 747 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 133, 540, 138, 747 i.e 1.
3. How can I use the GCD of 133, 540, 138, 747Calculator?
Out the numbers 133, 540, 138, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.