GCD of 76, 953, 749, 418 Calculator

Given Input numbers are 76, 953, 749, 418

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 749

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

1, 7, 107, 749

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 76, 953, 749, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 953, 749, 418 is 1.

Therefore, GCD of numbers 76, 953, 749, 418 is 1

Given Input Data is 76, 953, 749, 418

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 953 is 953

Prime Factorization of 749 is 7 x 107

Prime Factorization of 418 is 2 x 11 x 19

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(76, 953) = 72428

GCD(76, 953) = ( 76 x 953 ) / 72428

GCD(76, 953) = 72428 / 72428

GCD(76, 953) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 76, 953, 749, 418 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 867, 477, 771
• GCD of 19, 153, 547, 800
• GCD of 66, 781, 750, 279
• GCD of 60, 884, 689, 612
• GCD of 17, 654, 612, 244

1. What is the GCD of 76, 953, 749, 418?

GCD of 76, 953, 749, 418 is 1

2. Where do I get the detailed procedure to find GCD of 76, 953, 749, 418?

You can find a detailed procedure to find GCD of 76, 953, 749, 418 on our page.

3. How to find GCD of 76, 953, 749, 418 on a calculator?

You can find the GCD of 76, 953, 749, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.