Online GCD Calculator is useful to find the GCD of 821, 412, 842, 780 quickly. Get the easiest ways to solve the greatest common divisor of 821, 412, 842, 780 i.e 1 in different methods as follows.
Given Input numbers are 821, 412, 842, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (821, 412, 842, 780) = 1.
Given numbers are 821, 412, 842, 780
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 412 are 2 x 2 x 103
Prime factors of 842 are 2 x 421
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 412, 842, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 412) = 338252
GCD(821, 412) = ( 821 x 412 ) / 338252
= 821 / 412
= 821
Step2:
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
= 1 / 842
= 1
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 821, 412, 842, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 412, 842, 780
The greatest common divisor of numbers 821, 412, 842, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 412, 842, 780 is 1.
1. What is the GCD of 821, 412, 842, 780?
GCD of given numbers 821, 412, 842, 780 is 1
2. How to calculate the greatest common divisor of 821, 412, 842, 780?
We can find the highest common divisor of 821, 412, 842, 780 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 821, 412, 842, 780 i.e 1.
3. How can I use the GCD of 821, 412, 842, 780Calculator?
Out the numbers 821, 412, 842, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.