Online GCD Calculator is useful to find the GCD of 528, 458, 738, 821 quickly. Get the easiest ways to solve the greatest common divisor of 528, 458, 738, 821 i.e 1 in different methods as follows.
Given Input numbers are 528, 458, 738, 821
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (528, 458, 738, 821) = 1.
Given numbers are 528, 458, 738, 821
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 458 are 2 x 229
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 528, 458, 738, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 458) = 120912
GCD(528, 458) = ( 528 x 458 ) / 120912
= 528 / 458
= 528
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
= 2 / 821
= 2
So, Greatest Common Divisor of 528, 458, 738, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 458, 738, 821
The greatest common divisor of numbers 528, 458, 738, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 458, 738, 821 is 1.
1. What is the GCD of 528, 458, 738, 821?
GCD of given numbers 528, 458, 738, 821 is 1
2. How to calculate the greatest common divisor of 528, 458, 738, 821?
We can find the highest common divisor of 528, 458, 738, 821 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 528, 458, 738, 821 i.e 1.
3. How can I use the GCD of 528, 458, 738, 821Calculator?
Out the numbers 528, 458, 738, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.