Online GCD Calculator is useful to find the GCD of 828, 813, 109, 270 quickly. Get the easiest ways to solve the greatest common divisor of 828, 813, 109, 270 i.e 1 in different methods as follows.
Given Input numbers are 828, 813, 109, 270
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 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (828, 813, 109, 270) = 1.
Given numbers are 828, 813, 109, 270
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 813 are 3 x 271
Prime factors of 109 are 109
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 813, 109, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 813) = 224388
GCD(828, 813) = ( 828 x 813 ) / 224388
= 828 / 813
= 828
Step2:
LCM(3, 109) = 327
GCD(3, 109) = ( 3 x 109 ) / 327
= 3 / 109
= 3
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 828, 813, 109, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 813, 109, 270
The greatest common divisor of numbers 828, 813, 109, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 813, 109, 270 is 1.
1. What is the GCD of 828, 813, 109, 270?
GCD of given numbers 828, 813, 109, 270 is 1
2. How to calculate the greatest common divisor of 828, 813, 109, 270?
We can find the highest common divisor of 828, 813, 109, 270 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, 813, 109, 270 i.e 1.
3. How can I use the GCD of 828, 813, 109, 270Calculator?
Out the numbers 828, 813, 109, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.