Online GCD Calculator is useful to find the GCD of 849, 828, 763, 180 quickly. Get the easiest ways to solve the greatest common divisor of 849, 828, 763, 180 i.e 1 in different methods as follows.
Given Input numbers are 849, 828, 763, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
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 763 :
The positive integer divisors of 763 that completely divides 763 are.
1, 7, 109, 763
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 (849, 828, 763, 180) = 1.
Given numbers are 849, 828, 763, 180
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 763 are 7 x 109
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 849, 828, 763, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 828) = 234324
GCD(849, 828) = ( 849 x 828 ) / 234324
= 849 / 828
= 849
Step2:
LCM(3, 763) = 2289
GCD(3, 763) = ( 3 x 763 ) / 2289
= 3 / 763
= 3
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 849, 828, 763, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 828, 763, 180
The greatest common divisor of numbers 849, 828, 763, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 828, 763, 180 is 1.
1. What is the GCD of 849, 828, 763, 180?
GCD of given numbers 849, 828, 763, 180 is 1
2. How to calculate the greatest common divisor of 849, 828, 763, 180?
We can find the highest common divisor of 849, 828, 763, 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 849, 828, 763, 180 i.e 1.
3. How can I use the GCD of 849, 828, 763, 180Calculator?
Out the numbers 849, 828, 763, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.