Online GCD Calculator is useful to find the GCD of 368, 310, 652, 760 quickly. Get the easiest ways to solve the greatest common divisor of 368, 310, 652, 760 i.e 2 in different methods as follows.
Given Input numbers are 368, 310, 652, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (368, 310, 652, 760) = 2.
Given numbers are 368, 310, 652, 760
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 310 are 2 x 5 x 31
Prime factors of 652 are 2 x 2 x 163
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 368, 310, 652, 760 is 2.
Given numbers are 368, 310, 652, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 310) = 57040
GCD(368, 310) = ( 368 x 310 ) / 57040
= 368 / 310
= 368
Step2:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
Step3:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
So, Greatest Common Divisor of 368, 310, 652, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 310, 652, 760
The greatest common divisor of numbers 368, 310, 652, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 310, 652, 760 is 2.
1. What is the GCD of 368, 310, 652, 760?
GCD of given numbers 368, 310, 652, 760 is 2
2. How to calculate the greatest common divisor of 368, 310, 652, 760?
We can find the highest common divisor of 368, 310, 652, 760 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 368, 310, 652, 760 i.e 2.
3. How can I use the GCD of 368, 310, 652, 760Calculator?
Out the numbers 368, 310, 652, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.