Online GCD Calculator is useful to find the GCD of 528, 681, 432, 498 quickly. Get the easiest ways to solve the greatest common divisor of 528, 681, 432, 498 i.e 3 in different methods as follows.
Given Input numbers are 528, 681, 432, 498
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 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (528, 681, 432, 498) = 3.
Given numbers are 528, 681, 432, 498
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 681 are 3 x 227
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 528, 681, 432, 498 is 3.
Given numbers are 528, 681, 432, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 681) = 119856
GCD(528, 681) = ( 528 x 681 ) / 119856
= 528 / 681
= 528
Step2:
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
= 3 / 432
= 3
Step3:
LCM(3, 498) = 498
GCD(3, 498) = ( 3 x 498 ) / 498
= 3 / 498
= 3
So, Greatest Common Divisor of 528, 681, 432, 498 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 681, 432, 498
The greatest common divisor of numbers 528, 681, 432, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 681, 432, 498 is 3.
1. What is the GCD of 528, 681, 432, 498?
GCD of given numbers 528, 681, 432, 498 is 3
2. How to calculate the greatest common divisor of 528, 681, 432, 498?
We can find the highest common divisor of 528, 681, 432, 498 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, 681, 432, 498 i.e 3.
3. How can I use the GCD of 528, 681, 432, 498Calculator?
Out the numbers 528, 681, 432, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.