Online GCD Calculator is useful to find the GCD of 964, 316, 508, 296 quickly. Get the easiest ways to solve the greatest common divisor of 964, 316, 508, 296 i.e 4 in different methods as follows.
Given Input numbers are 964, 316, 508, 296
In the factoring method, we have to find the divisors of all numbers
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
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 (964, 316, 508, 296) = 4.
Given numbers are 964, 316, 508, 296
The list of prime factors of all numbers are
Prime factors of 964 are 2 x 2 x 241
Prime factors of 316 are 2 x 2 x 79
Prime factors of 508 are 2 x 2 x 127
Prime factors of 296 are 2 x 2 x 2 x 37
The highest common occurrence is 22
Therefore, GCD of 964, 316, 508, 296 is 4.
Given numbers are 964, 316, 508, 296
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(964, 316) = 76156
GCD(964, 316) = ( 964 x 316 ) / 76156
= 964 / 316
= 964
Step2:
LCM(4, 508) = 508
GCD(4, 508) = ( 4 x 508 ) / 508
= 4 / 508
= 4
Step3:
LCM(4, 296) = 296
GCD(4, 296) = ( 4 x 296 ) / 296
= 4 / 296
= 4
So, Greatest Common Divisor of 964, 316, 508, 296 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 964, 316, 508, 296
The greatest common divisor of numbers 964, 316, 508, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 316, 508, 296 is 4.
1. What is the GCD of 964, 316, 508, 296?
GCD of given numbers 964, 316, 508, 296 is 4
2. How to calculate the greatest common divisor of 964, 316, 508, 296?
We can find the highest common divisor of 964, 316, 508, 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 964, 316, 508, 296 i.e 4.
3. How can I use the GCD of 964, 316, 508, 296Calculator?
Out the numbers 964, 316, 508, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.