Online GCD Calculator is useful to find the GCD of 682, 180, 716, 981 quickly. Get the easiest ways to solve the greatest common divisor of 682, 180, 716, 981 i.e 1 in different methods as follows.
Given Input numbers are 682, 180, 716, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (682, 180, 716, 981) = 1.
Given numbers are 682, 180, 716, 981
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 716 are 2 x 2 x 179
Prime factors of 981 are 3 x 3 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 682, 180, 716, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 180) = 61380
GCD(682, 180) = ( 682 x 180 ) / 61380
= 682 / 180
= 682
Step2:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
Step3:
LCM(2, 981) = 1962
GCD(2, 981) = ( 2 x 981 ) / 1962
= 2 / 981
= 2
So, Greatest Common Divisor of 682, 180, 716, 981 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 180, 716, 981
The greatest common divisor of numbers 682, 180, 716, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 180, 716, 981 is 1.
1. What is the GCD of 682, 180, 716, 981?
GCD of given numbers 682, 180, 716, 981 is 1
2. How to calculate the greatest common divisor of 682, 180, 716, 981?
We can find the highest common divisor of 682, 180, 716, 981 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 682, 180, 716, 981 i.e 1.
3. How can I use the GCD of 682, 180, 716, 981Calculator?
Out the numbers 682, 180, 716, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.