GCD of 302, 758, 51, 240 Calculator

Given Input numbers are 302, 758, 51, 240

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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

Greatest Common Divisior

We found the divisors of 302, 758, 51, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 758, 51, 240 is 1.

Therefore, GCD of numbers 302, 758, 51, 240 is 1

Given Input Data is 302, 758, 51, 240

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 758 is 2 x 379

Prime Factorization of 51 is 3 x 17

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

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(302, 758) = 114458

GCD(302, 758) = ( 302 x 758 ) / 114458

GCD(302, 758) = 228916 / 114458

GCD(302, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 302, 758, 51, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 237, 99, 208
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• GCD of 690, 752, 48, 292
• GCD of 849, 639, 43, 695
• GCD of 702, 228, 40, 403

1. What is the GCD of 302, 758, 51, 240?

GCD of 302, 758, 51, 240 is 1

2. Where do I get the detailed procedure to find GCD of 302, 758, 51, 240?

You can find a detailed procedure to find GCD of 302, 758, 51, 240 on our page.

3. How to find GCD of 302, 758, 51, 240 on a calculator?

You can find the GCD of 302, 758, 51, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.