GCD of 901, 298, 63, 305 Calculator

Given Input numbers are 901, 298, 63, 305

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 901, 298, 63, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 298, 63, 305 is 1.

Therefore, GCD of numbers 901, 298, 63, 305 is 1

Given Input Data is 901, 298, 63, 305

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 298 is 2 x 149

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 305 is 5 x 61

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(901, 298) = 268498

GCD(901, 298) = ( 901 x 298 ) / 268498

GCD(901, 298) = 268498 / 268498

GCD(901, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 901, 298, 63, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 256, 75, 639
• GCD of 901, 680, 81, 727
• GCD of 871, 739, 25, 638
• GCD of 942, 875, 11, 812
• GCD of 371, 221, 70, 441

1. What is the GCD of 901, 298, 63, 305?

GCD of 901, 298, 63, 305 is 1

2. Where do I get the detailed procedure to find GCD of 901, 298, 63, 305?

You can find a detailed procedure to find GCD of 901, 298, 63, 305 on our page.

3. How to find GCD of 901, 298, 63, 305 on a calculator?

You can find the GCD of 901, 298, 63, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.