Online GCD Calculator is useful to find the GCD of 228, 771, 21, 820 quickly. Get the easiest ways to solve the greatest common divisor of 228, 771, 21, 820 i.e 1 in different methods as follows.
Given Input numbers are 228, 771, 21, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
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
GCD of numbers is the greatest common divisor
So, the GCD (228, 771, 21, 820) = 1.
Given numbers are 228, 771, 21, 820
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 771 are 3 x 257
Prime factors of 21 are 3 x 7
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 228, 771, 21, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 771) = 58596
GCD(228, 771) = ( 228 x 771 ) / 58596
= 228 / 771
= 228
Step2:
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
= 3 / 21
= 3
Step3:
LCM(3, 820) = 2460
GCD(3, 820) = ( 3 x 820 ) / 2460
= 3 / 820
= 3
So, Greatest Common Divisor of 228, 771, 21, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 771, 21, 820
The greatest common divisor of numbers 228, 771, 21, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 771, 21, 820 is 1.
1. What is the GCD of 228, 771, 21, 820?
GCD of given numbers 228, 771, 21, 820 is 1
2. How to calculate the greatest common divisor of 228, 771, 21, 820?
We can find the highest common divisor of 228, 771, 21, 820 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 228, 771, 21, 820 i.e 1.
3. How can I use the GCD of 228, 771, 21, 820Calculator?
Out the numbers 228, 771, 21, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.