GCD of 75, 291, 398, 649 Calculator

Given Input numbers are 75, 291, 398, 649

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 75, 291, 398, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 291, 398, 649 is 1.

Therefore, GCD of numbers 75, 291, 398, 649 is 1

Given Input Data is 75, 291, 398, 649

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 291 is 3 x 97

Prime Factorization of 398 is 2 x 199

Prime Factorization of 649 is 11 x 59

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(75, 291) = 7275

GCD(75, 291) = ( 75 x 291 ) / 7275

GCD(75, 291) = 21825 / 7275

GCD(75, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 75, 291, 398, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 202, 200, 935
• GCD of 63, 797, 126, 697
• GCD of 22, 398, 942, 328
• GCD of 61, 992, 948, 372
• GCD of 25, 814, 157, 437

1. What is the GCD of 75, 291, 398, 649?

GCD of 75, 291, 398, 649 is 1

2. Where do I get the detailed procedure to find GCD of 75, 291, 398, 649?

You can find a detailed procedure to find GCD of 75, 291, 398, 649 on our page.

3. How to find GCD of 75, 291, 398, 649 on a calculator?

You can find the GCD of 75, 291, 398, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.