GCD of 500, 345, 371, 963 Calculator

Given Input numbers are 500, 345, 371, 963

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (500, 345, 371, 963) = 1.

Given numbers are 500, 345, 371, 963

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 345 are 3 x 5 x 23

Prime factors of 371 are 7 x 53

Prime factors of 963 are 3 x 3 x 107

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

Given numbers are 500, 345, 371, 963

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

Apply this formula for all numbers.

Step1:

LCM(500, 345) = 34500

GCD(500, 345) = ( 500 x 345 ) / 34500

= 500 / 345

= 500

Step2:

LCM(5, 371) = 1855

GCD(5, 371) = ( 5 x 371 ) / 1855

= 5 / 371

= 5

Step3:

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

= 1 / 963

= 1

So, Greatest Common Divisor of 500, 345, 371, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 487, 693, 922
• GCD of 852, 984, 707, 740
• GCD of 397, 724, 729, 883
• GCD of 655, 209, 296, 847
• GCD of 174, 811, 862, 539

Given numbers are 500, 345, 371, 963
The greatest common divisor of numbers 500, 345, 371, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 345, 371, 963 is 1.

1. What is the GCD of 500, 345, 371, 963?

GCD of given numbers 500, 345, 371, 963 is 1

2. How to calculate the greatest common divisor of 500, 345, 371, 963?

We can find the highest common divisor of 500, 345, 371, 963 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, 345, 371, 963 i.e 1.

3. How can I use the GCD of 500, 345, 371, 963Calculator?

Out the numbers 500, 345, 371, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.