GCD of 460, 240, 602, 991 Calculator

Given Input numbers are 460, 240, 602, 991

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 460, 240, 602, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 240, 602, 991 is 1.

Therefore, GCD of numbers 460, 240, 602, 991 is 1

Given Input Data is 460, 240, 602, 991

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 991 is 991

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(460, 240) = 5520

GCD(460, 240) = ( 460 x 240 ) / 5520

GCD(460, 240) = 110400 / 5520

GCD(460, 240) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 602

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

LCM(20, 602) = 6020

GCD(20, 602) = ( 20 x 602 ) / 6020

GCD(20, 602) = 12040 / 6020

GCD(20, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 460, 240, 602, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 289, 664, 729
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• GCD of 483, 249, 869, 343
• GCD of 576, 184, 680, 770
• GCD of 900, 774, 216, 992

1. What is the GCD of 460, 240, 602, 991?

GCD of 460, 240, 602, 991 is 1

2. Where do I get the detailed procedure to find GCD of 460, 240, 602, 991?

You can find a detailed procedure to find GCD of 460, 240, 602, 991 on our page.

3. How to find GCD of 460, 240, 602, 991 on a calculator?

You can find the GCD of 460, 240, 602, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.