GCD of 345, 996, 767, 750 Calculator

Given Input numbers are 345, 996, 767, 750

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 345, 996, 767, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 996, 767, 750 is 1.

Therefore, GCD of numbers 345, 996, 767, 750 is 1

Given Input Data is 345, 996, 767, 750

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 767 is 13 x 59

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(345, 996) = 114540

GCD(345, 996) = ( 345 x 996 ) / 114540

GCD(345, 996) = 343620 / 114540

GCD(345, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 767

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

LCM(3, 767) = 2301

GCD(3, 767) = ( 3 x 767 ) / 2301

GCD(3, 767) = 2301 / 2301

GCD(3, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 345, 996, 767, 750 is 1

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1. What is the GCD of 345, 996, 767, 750?

GCD of 345, 996, 767, 750 is 1

2. Where do I get the detailed procedure to find GCD of 345, 996, 767, 750?

You can find a detailed procedure to find GCD of 345, 996, 767, 750 on our page.

3. How to find GCD of 345, 996, 767, 750 on a calculator?

You can find the GCD of 345, 996, 767, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.