Online GCD Calculator is useful to find the GCD of 520, 874, 334, 994 quickly. Get the easiest ways to solve the greatest common divisor of 520, 874, 334, 994 i.e 2 in different methods as follows.
Given Input numbers are 520, 874, 334, 994
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 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (520, 874, 334, 994) = 2.
Given numbers are 520, 874, 334, 994
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 874 are 2 x 19 x 23
Prime factors of 334 are 2 x 167
Prime factors of 994 are 2 x 7 x 71
The highest common occurrence is 21
Therefore, GCD of 520, 874, 334, 994 is 2.
Given numbers are 520, 874, 334, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 874) = 227240
GCD(520, 874) = ( 520 x 874 ) / 227240
= 520 / 874
= 520
Step2:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
Step3:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
So, Greatest Common Divisor of 520, 874, 334, 994 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 874, 334, 994
The greatest common divisor of numbers 520, 874, 334, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 874, 334, 994 is 2.
1. What is the GCD of 520, 874, 334, 994?
GCD of given numbers 520, 874, 334, 994 is 2
2. How to calculate the greatest common divisor of 520, 874, 334, 994?
We can find the highest common divisor of 520, 874, 334, 994 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, 874, 334, 994 i.e 2.
3. How can I use the GCD of 520, 874, 334, 994Calculator?
Out the numbers 520, 874, 334, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.