Online GCD Calculator is useful to find the GCD of 828, 266, 689, 180 quickly. Get the easiest ways to solve the greatest common divisor of 828, 266, 689, 180 i.e 1 in different methods as follows.
Given Input numbers are 828, 266, 689, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
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
GCD of numbers is the greatest common divisor
So, the GCD (828, 266, 689, 180) = 1.
Given numbers are 828, 266, 689, 180
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 266 are 2 x 7 x 19
Prime factors of 689 are 13 x 53
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 266, 689, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 266) = 110124
GCD(828, 266) = ( 828 x 266 ) / 110124
= 828 / 266
= 828
Step2:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 828, 266, 689, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 266, 689, 180
The greatest common divisor of numbers 828, 266, 689, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 266, 689, 180 is 1.
1. What is the GCD of 828, 266, 689, 180?
GCD of given numbers 828, 266, 689, 180 is 1
2. How to calculate the greatest common divisor of 828, 266, 689, 180?
We can find the highest common divisor of 828, 266, 689, 180 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 828, 266, 689, 180 i.e 1.
3. How can I use the GCD of 828, 266, 689, 180Calculator?
Out the numbers 828, 266, 689, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.