Online GCD Calculator is useful to find the GCD of 520, 414, 294, 996 quickly. Get the easiest ways to solve the greatest common divisor of 520, 414, 294, 996 i.e 2 in different methods as follows.
Given Input numbers are 520, 414, 294, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (520, 414, 294, 996) = 2.
Given numbers are 520, 414, 294, 996
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 520, 414, 294, 996 is 2.
Given numbers are 520, 414, 294, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 414) = 107640
GCD(520, 414) = ( 520 x 414 ) / 107640
= 520 / 414
= 520
Step2:
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
= 2 / 294
= 2
Step3:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
So, Greatest Common Divisor of 520, 414, 294, 996 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 414, 294, 996
The greatest common divisor of numbers 520, 414, 294, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 414, 294, 996 is 2.
1. What is the GCD of 520, 414, 294, 996?
GCD of given numbers 520, 414, 294, 996 is 2
2. How to calculate the greatest common divisor of 520, 414, 294, 996?
We can find the highest common divisor of 520, 414, 294, 996 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 520, 414, 294, 996 i.e 2.
3. How can I use the GCD of 520, 414, 294, 996Calculator?
Out the numbers 520, 414, 294, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.