GCD of 745, 990, 945, 500 Calculator

Given Input numbers are 745, 990, 945, 500

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

GCD of numbers is the greatest common divisor

So, the GCD (745, 990, 945, 500) = 5.

Given numbers are 745, 990, 945, 500

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 745, 990, 945, 500 is 5.

Given numbers are 745, 990, 945, 500

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

Apply this formula for all numbers.

Step1:

LCM(745, 990) = 147510

GCD(745, 990) = ( 745 x 990 ) / 147510

= 745 / 990

= 745

Step2:

LCM(5, 945) = 945

GCD(5, 945) = ( 5 x 945 ) / 945

= 5 / 945

= 5

Step3:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

So, Greatest Common Divisor of 745, 990, 945, 500 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 918, 816, 740
• GCD of 345, 213, 996, 496
• GCD of 659, 322, 980, 954
• GCD of 531, 358, 948, 257
• GCD of 356, 413, 862, 986

Given numbers are 745, 990, 945, 500
The greatest common divisor of numbers 745, 990, 945, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 990, 945, 500 is 5.

1. What is the GCD of 745, 990, 945, 500?

GCD of given numbers 745, 990, 945, 500 is 5

2. How to calculate the greatest common divisor of 745, 990, 945, 500?

We can find the highest common divisor of 745, 990, 945, 500 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 745, 990, 945, 500 i.e 5.

3. How can I use the GCD of 745, 990, 945, 500Calculator?

Out the numbers 745, 990, 945, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.