Online GCD Calculator is useful to find the GCD of 103, 696, 218, 680 quickly. Get the easiest ways to solve the greatest common divisor of 103, 696, 218, 680 i.e 1 in different methods as follows.
Given Input numbers are 103, 696, 218, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
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 (103, 696, 218, 680) = 1.
Given numbers are 103, 696, 218, 680
The list of prime factors of all numbers are
Prime factors of 103 are 103
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 218 are 2 x 109
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 103, 696, 218, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(103, 696) = 71688
GCD(103, 696) = ( 103 x 696 ) / 71688
= 103 / 696
= 103
Step2:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 103, 696, 218, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 103, 696, 218, 680
The greatest common divisor of numbers 103, 696, 218, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 696, 218, 680 is 1.
1. What is the GCD of 103, 696, 218, 680?
GCD of given numbers 103, 696, 218, 680 is 1
2. How to calculate the greatest common divisor of 103, 696, 218, 680?
We can find the highest common divisor of 103, 696, 218, 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 103, 696, 218, 680 i.e 1.
3. How can I use the GCD of 103, 696, 218, 680Calculator?
Out the numbers 103, 696, 218, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.