Online GCD Calculator is useful to find the GCD of 138, 692, 615, 689 quickly. Get the easiest ways to solve the greatest common divisor of 138, 692, 615, 689 i.e 1 in different methods as follows.
Given Input numbers are 138, 692, 615, 689
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (138, 692, 615, 689) = 1.
Given numbers are 138, 692, 615, 689
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 692 are 2 x 2 x 173
Prime factors of 615 are 3 x 5 x 41
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 692, 615, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 692) = 47748
GCD(138, 692) = ( 138 x 692 ) / 47748
= 138 / 692
= 138
Step2:
LCM(2, 615) = 1230
GCD(2, 615) = ( 2 x 615 ) / 1230
= 2 / 615
= 2
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 138, 692, 615, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 692, 615, 689
The greatest common divisor of numbers 138, 692, 615, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 692, 615, 689 is 1.
1. What is the GCD of 138, 692, 615, 689?
GCD of given numbers 138, 692, 615, 689 is 1
2. How to calculate the greatest common divisor of 138, 692, 615, 689?
We can find the highest common divisor of 138, 692, 615, 689 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, 692, 615, 689 i.e 1.
3. How can I use the GCD of 138, 692, 615, 689Calculator?
Out the numbers 138, 692, 615, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.