GCD of 510, 282, 46, 991 Calculator

Given Input numbers are 510, 282, 46, 991

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 510, 282, 46, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 282, 46, 991 is 1.

Therefore, GCD of numbers 510, 282, 46, 991 is 1

Given Input Data is 510, 282, 46, 991

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 46 is 2 x 23

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(510, 282) = 23970

GCD(510, 282) = ( 510 x 282 ) / 23970

GCD(510, 282) = 143820 / 23970

GCD(510, 282) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 46

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

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

GCD(6, 46) = 276 / 138

GCD(6, 46) = 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 510, 282, 46, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 169, 80, 632
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• GCD of 151, 803, 97, 249
• GCD of 263, 341, 78, 303
• GCD of 922, 637, 93, 970

1. What is the GCD of 510, 282, 46, 991?

GCD of 510, 282, 46, 991 is 1

2. Where do I get the detailed procedure to find GCD of 510, 282, 46, 991?

You can find a detailed procedure to find GCD of 510, 282, 46, 991 on our page.

3. How to find GCD of 510, 282, 46, 991 on a calculator?

You can find the GCD of 510, 282, 46, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.