GCD of 960, 638, 508, 917 Calculator

Given Input numbers are 960, 638, 508, 917

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

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 638 :

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (960, 638, 508, 917) = 1.

Given numbers are 960, 638, 508, 917

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

Prime factors of 508 are 2 x 2 x 127

Prime factors of 917 are 7 x 131

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 960, 638, 508, 917

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

Apply this formula for all numbers.

Step1:

LCM(960, 638) = 306240

GCD(960, 638) = ( 960 x 638 ) / 306240

= 960 / 638

= 960

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

So, Greatest Common Divisor of 960, 638, 508, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 644, 909, 313
• GCD of 989, 947, 762, 762
• GCD of 203, 260, 303, 288
• GCD of 183, 597, 406, 917
• GCD of 893, 815, 118, 441

Given numbers are 960, 638, 508, 917
The greatest common divisor of numbers 960, 638, 508, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 638, 508, 917 is 1.

1. What is the GCD of 960, 638, 508, 917?

GCD of given numbers 960, 638, 508, 917 is 1

2. How to calculate the greatest common divisor of 960, 638, 508, 917?

We can find the highest common divisor of 960, 638, 508, 917 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 960, 638, 508, 917 i.e 1.

3. How can I use the GCD of 960, 638, 508, 917Calculator?

Out the numbers 960, 638, 508, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.