Online GCD Calculator is useful to find the GCD of 138, 227, 680, 765 quickly. Get the easiest ways to solve the greatest common divisor of 138, 227, 680, 765 i.e 1 in different methods as follows.
Given Input numbers are 138, 227, 680, 765
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 227 :
The positive integer divisors of 227 that completely divides 227 are.
1, 227
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (138, 227, 680, 765) = 1.
Given numbers are 138, 227, 680, 765
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 227 are 227
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 765 are 3 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 227, 680, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 227) = 31326
GCD(138, 227) = ( 138 x 227 ) / 31326
= 138 / 227
= 138
Step2:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
Step3:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
So, Greatest Common Divisor of 138, 227, 680, 765 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 227, 680, 765
The greatest common divisor of numbers 138, 227, 680, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 227, 680, 765 is 1.
1. What is the GCD of 138, 227, 680, 765?
GCD of given numbers 138, 227, 680, 765 is 1
2. How to calculate the greatest common divisor of 138, 227, 680, 765?
We can find the highest common divisor of 138, 227, 680, 765 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, 227, 680, 765 i.e 1.
3. How can I use the GCD of 138, 227, 680, 765Calculator?
Out the numbers 138, 227, 680, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.