Online GCD Calculator is useful to find the GCD of 820, 771, 218, 221 quickly. Get the easiest ways to solve the greatest common divisor of 820, 771, 218, 221 i.e 1 in different methods as follows.
Given Input numbers are 820, 771, 218, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (820, 771, 218, 221) = 1.
Given numbers are 820, 771, 218, 221
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 771 are 3 x 257
Prime factors of 218 are 2 x 109
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 771, 218, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 771) = 632220
GCD(820, 771) = ( 820 x 771 ) / 632220
= 820 / 771
= 820
Step2:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
Step3:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
So, Greatest Common Divisor of 820, 771, 218, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 771, 218, 221
The greatest common divisor of numbers 820, 771, 218, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 771, 218, 221 is 1.
1. What is the GCD of 820, 771, 218, 221?
GCD of given numbers 820, 771, 218, 221 is 1
2. How to calculate the greatest common divisor of 820, 771, 218, 221?
We can find the highest common divisor of 820, 771, 218, 221 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 820, 771, 218, 221 i.e 1.
3. How can I use the GCD of 820, 771, 218, 221Calculator?
Out the numbers 820, 771, 218, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.