Online GCD Calculator is useful to find the GCD of 522, 356, 752, 221 quickly. Get the easiest ways to solve the greatest common divisor of 522, 356, 752, 221 i.e 1 in different methods as follows.
Given Input numbers are 522, 356, 752, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 (522, 356, 752, 221) = 1.
Given numbers are 522, 356, 752, 221
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 356 are 2 x 2 x 89
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
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 522, 356, 752, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 356) = 92916
GCD(522, 356) = ( 522 x 356 ) / 92916
= 522 / 356
= 522
Step2:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
Step3:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
So, Greatest Common Divisor of 522, 356, 752, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 356, 752, 221
The greatest common divisor of numbers 522, 356, 752, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 356, 752, 221 is 1.
1. What is the GCD of 522, 356, 752, 221?
GCD of given numbers 522, 356, 752, 221 is 1
2. How to calculate the greatest common divisor of 522, 356, 752, 221?
We can find the highest common divisor of 522, 356, 752, 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 522, 356, 752, 221 i.e 1.
3. How can I use the GCD of 522, 356, 752, 221Calculator?
Out the numbers 522, 356, 752, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.