GCD of 756, 615, 768, 749 Calculator

Given Input numbers are 756, 615, 768, 749

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 756, 615, 768, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 615, 768, 749 is 1.

Therefore, GCD of numbers 756, 615, 768, 749 is 1

Given Input Data is 756, 615, 768, 749

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 749 is 7 x 107

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(756, 615) = 154980

GCD(756, 615) = ( 756 x 615 ) / 154980

GCD(756, 615) = 464940 / 154980

GCD(756, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 768

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

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

GCD(3, 768) = 2304 / 768

GCD(3, 768) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 749

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

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

GCD(3, 749) = 2247 / 2247

GCD(3, 749) = 1

GCD of 756, 615, 768, 749 is 1

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1. What is the GCD of 756, 615, 768, 749?

GCD of 756, 615, 768, 749 is 1

2. Where do I get the detailed procedure to find GCD of 756, 615, 768, 749?

You can find a detailed procedure to find GCD of 756, 615, 768, 749 on our page.

3. How to find GCD of 756, 615, 768, 749 on a calculator?

You can find the GCD of 756, 615, 768, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.