Online GCD Calculator is useful to find the GCD of 138, 307, 431, 528 quickly. Get the easiest ways to solve the greatest common divisor of 138, 307, 431, 528 i.e 1 in different methods as follows.
Given Input numbers are 138, 307, 431, 528
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 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
GCD of numbers is the greatest common divisor
So, the GCD (138, 307, 431, 528) = 1.
Given numbers are 138, 307, 431, 528
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 307 are 307
Prime factors of 431 are 431
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 307, 431, 528
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 307) = 42366
GCD(138, 307) = ( 138 x 307 ) / 42366
= 138 / 307
= 138
Step2:
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
= 1 / 431
= 1
Step3:
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
= 1 / 528
= 1
So, Greatest Common Divisor of 138, 307, 431, 528 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 307, 431, 528
The greatest common divisor of numbers 138, 307, 431, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 307, 431, 528 is 1.
1. What is the GCD of 138, 307, 431, 528?
GCD of given numbers 138, 307, 431, 528 is 1
2. How to calculate the greatest common divisor of 138, 307, 431, 528?
We can find the highest common divisor of 138, 307, 431, 528 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, 307, 431, 528 i.e 1.
3. How can I use the GCD of 138, 307, 431, 528Calculator?
Out the numbers 138, 307, 431, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.