GCD of 755, 674, 96, 749 Calculator

Given Input numbers are 755, 674, 96, 749

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 755, 674, 96, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 674, 96, 749 is 1.

Therefore, GCD of numbers 755, 674, 96, 749 is 1

Given Input Data is 755, 674, 96, 749

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 674 is 2 x 337

Prime Factorization of 96 is 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(755, 674) = 508870

GCD(755, 674) = ( 755 x 674 ) / 508870

GCD(755, 674) = 508870 / 508870

GCD(755, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 755, 674, 96, 749 is 1

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1. What is the GCD of 755, 674, 96, 749?

GCD of 755, 674, 96, 749 is 1

2. Where do I get the detailed procedure to find GCD of 755, 674, 96, 749?

You can find a detailed procedure to find GCD of 755, 674, 96, 749 on our page.

3. How to find GCD of 755, 674, 96, 749 on a calculator?

You can find the GCD of 755, 674, 96, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.