Online GCD Calculator is useful to find the GCD of 130, 324, 364, 862 quickly. Get the easiest ways to solve the greatest common divisor of 130, 324, 364, 862 i.e 2 in different methods as follows.
Given Input numbers are 130, 324, 364, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (130, 324, 364, 862) = 2.
Given numbers are 130, 324, 364, 862
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 862 are 2 x 431
The highest common occurrence is 21
Therefore, GCD of 130, 324, 364, 862 is 2.
Given numbers are 130, 324, 364, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 324) = 21060
GCD(130, 324) = ( 130 x 324 ) / 21060
= 130 / 324
= 130
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 862) = 862
GCD(2, 862) = ( 2 x 862 ) / 862
= 2 / 862
= 2
So, Greatest Common Divisor of 130, 324, 364, 862 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 324, 364, 862
The greatest common divisor of numbers 130, 324, 364, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 324, 364, 862 is 2.
1. What is the GCD of 130, 324, 364, 862?
GCD of given numbers 130, 324, 364, 862 is 2
2. How to calculate the greatest common divisor of 130, 324, 364, 862?
We can find the highest common divisor of 130, 324, 364, 862 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 130, 324, 364, 862 i.e 2.
3. How can I use the GCD of 130, 324, 364, 862Calculator?
Out the numbers 130, 324, 364, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.