Online GCD Calculator is useful to find the GCD of 496, 652, 252, 296 quickly. Get the easiest ways to solve the greatest common divisor of 496, 652, 252, 296 i.e 4 in different methods as follows.
Given Input numbers are 496, 652, 252, 296
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
GCD of numbers is the greatest common divisor
So, the GCD (496, 652, 252, 296) = 4.
Given numbers are 496, 652, 252, 296
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 652 are 2 x 2 x 163
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 296 are 2 x 2 x 2 x 37
The highest common occurrence is 22
Therefore, GCD of 496, 652, 252, 296 is 4.
Given numbers are 496, 652, 252, 296
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 652) = 80848
GCD(496, 652) = ( 496 x 652 ) / 80848
= 496 / 652
= 496
Step2:
LCM(4, 252) = 252
GCD(4, 252) = ( 4 x 252 ) / 252
= 4 / 252
= 4
Step3:
LCM(4, 296) = 296
GCD(4, 296) = ( 4 x 296 ) / 296
= 4 / 296
= 4
So, Greatest Common Divisor of 496, 652, 252, 296 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 652, 252, 296
The greatest common divisor of numbers 496, 652, 252, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 652, 252, 296 is 4.
1. What is the GCD of 496, 652, 252, 296?
GCD of given numbers 496, 652, 252, 296 is 4
2. How to calculate the greatest common divisor of 496, 652, 252, 296?
We can find the highest common divisor of 496, 652, 252, 296 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 496, 652, 252, 296 i.e 4.
3. How can I use the GCD of 496, 652, 252, 296Calculator?
Out the numbers 496, 652, 252, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.