Online GCD Calculator is useful to find the GCD of 676, 684, 528, 496 quickly. Get the easiest ways to solve the greatest common divisor of 676, 684, 528, 496 i.e 4 in different methods as follows.
Given Input numbers are 676, 684, 528, 496
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (676, 684, 528, 496) = 4.
Given numbers are 676, 684, 528, 496
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 676, 684, 528, 496 is 4.
Given numbers are 676, 684, 528, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 684) = 115596
GCD(676, 684) = ( 676 x 684 ) / 115596
= 676 / 684
= 676
Step2:
LCM(4, 528) = 528
GCD(4, 528) = ( 4 x 528 ) / 528
= 4 / 528
= 4
Step3:
LCM(4, 496) = 496
GCD(4, 496) = ( 4 x 496 ) / 496
= 4 / 496
= 4
So, Greatest Common Divisor of 676, 684, 528, 496 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 684, 528, 496
The greatest common divisor of numbers 676, 684, 528, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 684, 528, 496 is 4.
1. What is the GCD of 676, 684, 528, 496?
GCD of given numbers 676, 684, 528, 496 is 4
2. How to calculate the greatest common divisor of 676, 684, 528, 496?
We can find the highest common divisor of 676, 684, 528, 496 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 676, 684, 528, 496 i.e 4.
3. How can I use the GCD of 676, 684, 528, 496Calculator?
Out the numbers 676, 684, 528, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.