GCD of 749, 734, 178, 300 Calculator

Given Input numbers are 749, 734, 178, 300

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 749, 734, 178, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 734, 178, 300 is 1.

Therefore, GCD of numbers 749, 734, 178, 300 is 1

Given Input Data is 749, 734, 178, 300

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 734 is 2 x 367

Prime Factorization of 178 is 2 x 89

Prime Factorization of 300 is 2 x 2 x 3 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(749, 734) = 549766

GCD(749, 734) = ( 749 x 734 ) / 549766

GCD(749, 734) = 549766 / 549766

GCD(749, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 749, 734, 178, 300 is 1

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1. What is the GCD of 749, 734, 178, 300?

GCD of 749, 734, 178, 300 is 1

2. Where do I get the detailed procedure to find GCD of 749, 734, 178, 300?

You can find a detailed procedure to find GCD of 749, 734, 178, 300 on our page.

3. How to find GCD of 749, 734, 178, 300 on a calculator?

You can find the GCD of 749, 734, 178, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.