Online GCD Calculator is useful to find the GCD of 460, 158, 390, 986 quickly. Get the easiest ways to solve the greatest common divisor of 460, 158, 390, 986 i.e 2 in different methods as follows.
Given Input numbers are 460, 158, 390, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (460, 158, 390, 986) = 2.
Given numbers are 460, 158, 390, 986
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 158 are 2 x 79
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 460, 158, 390, 986 is 2.
Given numbers are 460, 158, 390, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 158) = 36340
GCD(460, 158) = ( 460 x 158 ) / 36340
= 460 / 158
= 460
Step2:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
Step3:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
So, Greatest Common Divisor of 460, 158, 390, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 158, 390, 986
The greatest common divisor of numbers 460, 158, 390, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 158, 390, 986 is 2.
1. What is the GCD of 460, 158, 390, 986?
GCD of given numbers 460, 158, 390, 986 is 2
2. How to calculate the greatest common divisor of 460, 158, 390, 986?
We can find the highest common divisor of 460, 158, 390, 986 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 460, 158, 390, 986 i.e 2.
3. How can I use the GCD of 460, 158, 390, 986Calculator?
Out the numbers 460, 158, 390, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.