Online GCD Calculator is useful to find the GCD of 138, 612, 535, 507 quickly. Get the easiest ways to solve the greatest common divisor of 138, 612, 535, 507 i.e 1 in different methods as follows.
Given Input numbers are 138, 612, 535, 507
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (138, 612, 535, 507) = 1.
Given numbers are 138, 612, 535, 507
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 535 are 5 x 107
Prime factors of 507 are 3 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 612, 535, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 612) = 14076
GCD(138, 612) = ( 138 x 612 ) / 14076
= 138 / 612
= 138
Step2:
LCM(6, 535) = 3210
GCD(6, 535) = ( 6 x 535 ) / 3210
= 6 / 535
= 6
Step3:
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
= 1 / 507
= 1
So, Greatest Common Divisor of 138, 612, 535, 507 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 612, 535, 507
The greatest common divisor of numbers 138, 612, 535, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 612, 535, 507 is 1.
1. What is the GCD of 138, 612, 535, 507?
GCD of given numbers 138, 612, 535, 507 is 1
2. How to calculate the greatest common divisor of 138, 612, 535, 507?
We can find the highest common divisor of 138, 612, 535, 507 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, 612, 535, 507 i.e 1.
3. How can I use the GCD of 138, 612, 535, 507Calculator?
Out the numbers 138, 612, 535, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.