Online GCD Calculator is useful to find the GCD of 138, 617, 448, 680 quickly. Get the easiest ways to solve the greatest common divisor of 138, 617, 448, 680 i.e 1 in different methods as follows.
Given Input numbers are 138, 617, 448, 680
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 617 :
The positive integer divisors of 617 that completely divides 617 are.
1, 617
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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
GCD of numbers is the greatest common divisor
So, the GCD (138, 617, 448, 680) = 1.
Given numbers are 138, 617, 448, 680
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 617 are 617
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 617, 448, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 617) = 85146
GCD(138, 617) = ( 138 x 617 ) / 85146
= 138 / 617
= 138
Step2:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 138, 617, 448, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 617, 448, 680
The greatest common divisor of numbers 138, 617, 448, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 617, 448, 680 is 1.
1. What is the GCD of 138, 617, 448, 680?
GCD of given numbers 138, 617, 448, 680 is 1
2. How to calculate the greatest common divisor of 138, 617, 448, 680?
We can find the highest common divisor of 138, 617, 448, 680 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, 617, 448, 680 i.e 1.
3. How can I use the GCD of 138, 617, 448, 680Calculator?
Out the numbers 138, 617, 448, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.