Online GCD Calculator is useful to find the GCD of 827, 180, 782, 932 quickly. Get the easiest ways to solve the greatest common divisor of 827, 180, 782, 932 i.e 1 in different methods as follows.
Given Input numbers are 827, 180, 782, 932
In the factoring method, we have to find the divisors of all numbers
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
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 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
GCD of numbers is the greatest common divisor
So, the GCD (827, 180, 782, 932) = 1.
Given numbers are 827, 180, 782, 932
The list of prime factors of all numbers are
Prime factors of 827 are 827
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 782 are 2 x 17 x 23
Prime factors of 932 are 2 x 2 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 827, 180, 782, 932
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(827, 180) = 148860
GCD(827, 180) = ( 827 x 180 ) / 148860
= 827 / 180
= 827
Step2:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
Step3:
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
= 1 / 932
= 1
So, Greatest Common Divisor of 827, 180, 782, 932 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 827, 180, 782, 932
The greatest common divisor of numbers 827, 180, 782, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 180, 782, 932 is 1.
1. What is the GCD of 827, 180, 782, 932?
GCD of given numbers 827, 180, 782, 932 is 1
2. How to calculate the greatest common divisor of 827, 180, 782, 932?
We can find the highest common divisor of 827, 180, 782, 932 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 827, 180, 782, 932 i.e 1.
3. How can I use the GCD of 827, 180, 782, 932Calculator?
Out the numbers 827, 180, 782, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.