Online GCD Calculator is useful to find the GCD of 986, 520, 350, 462 quickly. Get the easiest ways to solve the greatest common divisor of 986, 520, 350, 462 i.e 2 in different methods as follows.
Given Input numbers are 986, 520, 350, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (986, 520, 350, 462) = 2.
Given numbers are 986, 520, 350, 462
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 986, 520, 350, 462 is 2.
Given numbers are 986, 520, 350, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 520) = 256360
GCD(986, 520) = ( 986 x 520 ) / 256360
= 986 / 520
= 986
Step2:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 986, 520, 350, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 520, 350, 462
The greatest common divisor of numbers 986, 520, 350, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 520, 350, 462 is 2.
1. What is the GCD of 986, 520, 350, 462?
GCD of given numbers 986, 520, 350, 462 is 2
2. How to calculate the greatest common divisor of 986, 520, 350, 462?
We can find the highest common divisor of 986, 520, 350, 462 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 986, 520, 350, 462 i.e 2.
3. How can I use the GCD of 986, 520, 350, 462Calculator?
Out the numbers 986, 520, 350, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.