GCD of 500, 916, 393, 349 Calculator

Given Input numbers are 500, 916, 393, 349

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (500, 916, 393, 349) = 1.

Given numbers are 500, 916, 393, 349

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 916 are 2 x 2 x 229

Prime factors of 393 are 3 x 131

Prime factors of 349 are 349

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

Given numbers are 500, 916, 393, 349

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

Apply this formula for all numbers.

Step1:

LCM(500, 916) = 114500

GCD(500, 916) = ( 500 x 916 ) / 114500

= 500 / 916

= 500

Step2:

LCM(4, 393) = 1572

GCD(4, 393) = ( 4 x 393 ) / 1572

= 4 / 393

= 4

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 500, 916, 393, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 944, 662, 920
• GCD of 102, 868, 742, 448
• GCD of 226, 938, 648, 802
• GCD of 845, 423, 217, 344
• GCD of 311, 587, 978, 802

Given numbers are 500, 916, 393, 349
The greatest common divisor of numbers 500, 916, 393, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 916, 393, 349 is 1.

1. What is the GCD of 500, 916, 393, 349?

GCD of given numbers 500, 916, 393, 349 is 1

2. How to calculate the greatest common divisor of 500, 916, 393, 349?

We can find the highest common divisor of 500, 916, 393, 349 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 500, 916, 393, 349 i.e 1.

3. How can I use the GCD of 500, 916, 393, 349Calculator?

Out the numbers 500, 916, 393, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.