GCD of 24, 461, 946, 102 Calculator

Given Input numbers are 24, 461, 946, 102

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 24, 461, 946, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 461, 946, 102 is 1.

Therefore, GCD of numbers 24, 461, 946, 102 is 1

Given Input Data is 24, 461, 946, 102

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 461 is 461

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 102 is 2 x 3 x 17

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(24, 461) = 11064

GCD(24, 461) = ( 24 x 461 ) / 11064

GCD(24, 461) = 11064 / 11064

GCD(24, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 24, 461, 946, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 870, 857, 282
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• GCD of 80, 821, 964, 514
• GCD of 28, 939, 664, 765
• GCD of 85, 300, 569, 370

1. What is the GCD of 24, 461, 946, 102?

GCD of 24, 461, 946, 102 is 1

2. Where do I get the detailed procedure to find GCD of 24, 461, 946, 102?

You can find a detailed procedure to find GCD of 24, 461, 946, 102 on our page.

3. How to find GCD of 24, 461, 946, 102 on a calculator?

You can find the GCD of 24, 461, 946, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.