Online GCD Calculator is useful to find the GCD of 638, 334, 376, 960 quickly. Get the easiest ways to solve the greatest common divisor of 638, 334, 376, 960 i.e 2 in different methods as follows.
Given Input numbers are 638, 334, 376, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (638, 334, 376, 960) = 2.
Given numbers are 638, 334, 376, 960
The list of prime factors of all numbers are
Prime factors of 638 are 2 x 11 x 29
Prime factors of 334 are 2 x 167
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 638, 334, 376, 960 is 2.
Given numbers are 638, 334, 376, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(638, 334) = 106546
GCD(638, 334) = ( 638 x 334 ) / 106546
= 638 / 334
= 638
Step2:
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
= 2 / 376
= 2
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 638, 334, 376, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 638, 334, 376, 960
The greatest common divisor of numbers 638, 334, 376, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 334, 376, 960 is 2.
1. What is the GCD of 638, 334, 376, 960?
GCD of given numbers 638, 334, 376, 960 is 2
2. How to calculate the greatest common divisor of 638, 334, 376, 960?
We can find the highest common divisor of 638, 334, 376, 960 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 638, 334, 376, 960 i.e 2.
3. How can I use the GCD of 638, 334, 376, 960Calculator?
Out the numbers 638, 334, 376, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.