GCD of 749, 918, 500, 993 Calculator

Given Input numbers are 749, 918, 500, 993

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (749, 918, 500, 993) = 1.

Given numbers are 749, 918, 500, 993

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 993 are 3 x 331

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

Given numbers are 749, 918, 500, 993

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

Apply this formula for all numbers.

Step1:

LCM(749, 918) = 687582

GCD(749, 918) = ( 749 x 918 ) / 687582

= 749 / 918

= 749

Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 749, 918, 500, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 197, 110, 976
• GCD of 878, 589, 324, 769
• GCD of 630, 255, 918, 770
• GCD of 939, 205, 960, 604
• GCD of 990, 118, 637, 786

Given numbers are 749, 918, 500, 993
The greatest common divisor of numbers 749, 918, 500, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 918, 500, 993 is 1.

1. What is the GCD of 749, 918, 500, 993?

GCD of given numbers 749, 918, 500, 993 is 1

2. How to calculate the greatest common divisor of 749, 918, 500, 993?

We can find the highest common divisor of 749, 918, 500, 993 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 749, 918, 500, 993 i.e 1.

3. How can I use the GCD of 749, 918, 500, 993Calculator?

Out the numbers 749, 918, 500, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.