GCD of 374, 960, 494, 638 Calculator

Given Input numbers are 374, 960, 494, 638

In the factoring method, we have to find the divisors of all numbers

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (374, 960, 494, 638) = 2.

Given numbers are 374, 960, 494, 638

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 494 are 2 x 13 x 19

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 374, 960, 494, 638 is 2.

Given numbers are 374, 960, 494, 638

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(374, 960) = 179520

GCD(374, 960) = ( 374 x 960 ) / 179520

= 374 / 960

= 374

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 374, 960, 494, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 891, 349, 252
• GCD of 885, 273, 949, 791
• GCD of 849, 950, 353, 816
• GCD of 550, 396, 609, 257
• GCD of 383, 559, 336, 459

Given numbers are 374, 960, 494, 638
The greatest common divisor of numbers 374, 960, 494, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 960, 494, 638 is 2.

1. What is the GCD of 374, 960, 494, 638?

GCD of given numbers 374, 960, 494, 638 is 2

2. How to calculate the greatest common divisor of 374, 960, 494, 638?

We can find the highest common divisor of 374, 960, 494, 638 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 374, 960, 494, 638 i.e 2.

3. How can I use the GCD of 374, 960, 494, 638Calculator?

Out the numbers 374, 960, 494, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.