GCD of 938, 768, 600, 355 Calculator

Given Input numbers are 938, 768, 600, 355

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (938, 768, 600, 355) = 1.

Given numbers are 938, 768, 600, 355

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 355 are 5 x 71

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

Given numbers are 938, 768, 600, 355

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

Apply this formula for all numbers.

Step1:

LCM(938, 768) = 360192

GCD(938, 768) = ( 938 x 768 ) / 360192

= 938 / 768

= 938

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

So, Greatest Common Divisor of 938, 768, 600, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 275, 204, 535
• GCD of 700, 401, 815, 357
• GCD of 419, 504, 949, 215
• GCD of 448, 153, 484, 802
• GCD of 313, 506, 861, 580

Given numbers are 938, 768, 600, 355
The greatest common divisor of numbers 938, 768, 600, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 768, 600, 355 is 1.

1. What is the GCD of 938, 768, 600, 355?

GCD of given numbers 938, 768, 600, 355 is 1

2. How to calculate the greatest common divisor of 938, 768, 600, 355?

We can find the highest common divisor of 938, 768, 600, 355 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 938, 768, 600, 355 i.e 1.

3. How can I use the GCD of 938, 768, 600, 355Calculator?

Out the numbers 938, 768, 600, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.