Online GCD Calculator is useful to find the GCD of 362, 518, 652, 116 quickly. Get the easiest ways to solve the greatest common divisor of 362, 518, 652, 116 i.e 2 in different methods as follows.
Given Input numbers are 362, 518, 652, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (362, 518, 652, 116) = 2.
Given numbers are 362, 518, 652, 116
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 518 are 2 x 7 x 37
Prime factors of 652 are 2 x 2 x 163
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 362, 518, 652, 116 is 2.
Given numbers are 362, 518, 652, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 518) = 93758
GCD(362, 518) = ( 362 x 518 ) / 93758
= 362 / 518
= 362
Step2:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 362, 518, 652, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 518, 652, 116
The greatest common divisor of numbers 362, 518, 652, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 518, 652, 116 is 2.
1. What is the GCD of 362, 518, 652, 116?
GCD of given numbers 362, 518, 652, 116 is 2
2. How to calculate the greatest common divisor of 362, 518, 652, 116?
We can find the highest common divisor of 362, 518, 652, 116 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 362, 518, 652, 116 i.e 2.
3. How can I use the GCD of 362, 518, 652, 116Calculator?
Out the numbers 362, 518, 652, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.