Online GCD Calculator is useful to find the GCD of 820, 274, 423, 228 quickly. Get the easiest ways to solve the greatest common divisor of 820, 274, 423, 228 i.e 1 in different methods as follows.
Given Input numbers are 820, 274, 423, 228
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 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
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
GCD of numbers is the greatest common divisor
So, the GCD (820, 274, 423, 228) = 1.
Given numbers are 820, 274, 423, 228
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 274 are 2 x 137
Prime factors of 423 are 3 x 3 x 47
Prime factors of 228 are 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 274, 423, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 274) = 112340
GCD(820, 274) = ( 820 x 274 ) / 112340
= 820 / 274
= 820
Step2:
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
= 2 / 423
= 2
Step3:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
So, Greatest Common Divisor of 820, 274, 423, 228 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 274, 423, 228
The greatest common divisor of numbers 820, 274, 423, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 274, 423, 228 is 1.
1. What is the GCD of 820, 274, 423, 228?
GCD of given numbers 820, 274, 423, 228 is 1
2. How to calculate the greatest common divisor of 820, 274, 423, 228?
We can find the highest common divisor of 820, 274, 423, 228 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, 274, 423, 228 i.e 1.
3. How can I use the GCD of 820, 274, 423, 228Calculator?
Out the numbers 820, 274, 423, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.