Online GCD Calculator is useful to find the GCD of 229, 308, 533, 772 quickly. Get the easiest ways to solve the greatest common divisor of 229, 308, 533, 772 i.e 1 in different methods as follows.
Given Input numbers are 229, 308, 533, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (229, 308, 533, 772) = 1.
Given numbers are 229, 308, 533, 772
The list of prime factors of all numbers are
Prime factors of 229 are 229
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 533 are 13 x 41
Prime factors of 772 are 2 x 2 x 193
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 229, 308, 533, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(229, 308) = 70532
GCD(229, 308) = ( 229 x 308 ) / 70532
= 229 / 308
= 229
Step2:
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
= 1 / 533
= 1
Step3:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
So, Greatest Common Divisor of 229, 308, 533, 772 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 229, 308, 533, 772
The greatest common divisor of numbers 229, 308, 533, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 308, 533, 772 is 1.
1. What is the GCD of 229, 308, 533, 772?
GCD of given numbers 229, 308, 533, 772 is 1
2. How to calculate the greatest common divisor of 229, 308, 533, 772?
We can find the highest common divisor of 229, 308, 533, 772 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 229, 308, 533, 772 i.e 1.
3. How can I use the GCD of 229, 308, 533, 772Calculator?
Out the numbers 229, 308, 533, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.