Online GCD Calculator is useful to find the GCD of 652, 292, 460, 304 quickly. Get the easiest ways to solve the greatest common divisor of 652, 292, 460, 304 i.e 4 in different methods as follows.
Given Input numbers are 652, 292, 460, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
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 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (652, 292, 460, 304) = 4.
Given numbers are 652, 292, 460, 304
The list of prime factors of all numbers are
Prime factors of 652 are 2 x 2 x 163
Prime factors of 292 are 2 x 2 x 73
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The highest common occurrence is 22
Therefore, GCD of 652, 292, 460, 304 is 4.
Given numbers are 652, 292, 460, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(652, 292) = 47596
GCD(652, 292) = ( 652 x 292 ) / 47596
= 652 / 292
= 652
Step2:
LCM(4, 460) = 460
GCD(4, 460) = ( 4 x 460 ) / 460
= 4 / 460
= 4
Step3:
LCM(4, 304) = 304
GCD(4, 304) = ( 4 x 304 ) / 304
= 4 / 304
= 4
So, Greatest Common Divisor of 652, 292, 460, 304 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 652, 292, 460, 304
The greatest common divisor of numbers 652, 292, 460, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 292, 460, 304 is 4.
1. What is the GCD of 652, 292, 460, 304?
GCD of given numbers 652, 292, 460, 304 is 4
2. How to calculate the greatest common divisor of 652, 292, 460, 304?
We can find the highest common divisor of 652, 292, 460, 304 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 652, 292, 460, 304 i.e 4.
3. How can I use the GCD of 652, 292, 460, 304Calculator?
Out the numbers 652, 292, 460, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.