GCD of 500, 296, 146, 747 Calculator

Given Input numbers are 500, 296, 146, 747

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (500, 296, 146, 747) = 1.

Given numbers are 500, 296, 146, 747

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 296 are 2 x 2 x 2 x 37

Prime factors of 146 are 2 x 73

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 500, 296, 146, 747

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

Apply this formula for all numbers.

Step1:

LCM(500, 296) = 37000

GCD(500, 296) = ( 500 x 296 ) / 37000

= 500 / 296

= 500

Step2:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

Step3:

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

= 2 / 747

= 2

So, Greatest Common Divisor of 500, 296, 146, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 116, 764, 145
• GCD of 884, 730, 238, 836
• GCD of 508, 359, 664, 894
• GCD of 361, 357, 752, 519
• GCD of 109, 611, 617, 211

Given numbers are 500, 296, 146, 747
The greatest common divisor of numbers 500, 296, 146, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 296, 146, 747 is 1.

1. What is the GCD of 500, 296, 146, 747?

GCD of given numbers 500, 296, 146, 747 is 1

2. How to calculate the greatest common divisor of 500, 296, 146, 747?

We can find the highest common divisor of 500, 296, 146, 747 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, 296, 146, 747 i.e 1.

3. How can I use the GCD of 500, 296, 146, 747Calculator?

Out the numbers 500, 296, 146, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.