Online GCD Calculator is useful to find the GCD of 138, 268, 539, 576 quickly. Get the easiest ways to solve the greatest common divisor of 138, 268, 539, 576 i.e 1 in different methods as follows.
Given Input numbers are 138, 268, 539, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 539 :
The positive integer divisors of 539 that completely divides 539 are.
1, 7, 11, 49, 77, 539
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (138, 268, 539, 576) = 1.
Given numbers are 138, 268, 539, 576
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 268 are 2 x 2 x 67
Prime factors of 539 are 7 x 7 x 11
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 268, 539, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 268) = 18492
GCD(138, 268) = ( 138 x 268 ) / 18492
= 138 / 268
= 138
Step2:
LCM(2, 539) = 1078
GCD(2, 539) = ( 2 x 539 ) / 1078
= 2 / 539
= 2
Step3:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
So, Greatest Common Divisor of 138, 268, 539, 576 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 268, 539, 576
The greatest common divisor of numbers 138, 268, 539, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 268, 539, 576 is 1.
1. What is the GCD of 138, 268, 539, 576?
GCD of given numbers 138, 268, 539, 576 is 1
2. How to calculate the greatest common divisor of 138, 268, 539, 576?
We can find the highest common divisor of 138, 268, 539, 576 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 138, 268, 539, 576 i.e 1.
3. How can I use the GCD of 138, 268, 539, 576Calculator?
Out the numbers 138, 268, 539, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.