GCD of 510, 720, 74, 151 Calculator

Given Input numbers are 510, 720, 74, 151

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 510, 720, 74, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 720, 74, 151 is 1.

Therefore, GCD of numbers 510, 720, 74, 151 is 1

Given Input Data is 510, 720, 74, 151

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 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 151 is 151

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, 720) = 12240

GCD(510, 720) = ( 510 x 720 ) / 12240

GCD(510, 720) = 367200 / 12240

GCD(510, 720) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 74

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

LCM(30, 74) = 1110

GCD(30, 74) = ( 30 x 74 ) / 1110

GCD(30, 74) = 2220 / 1110

GCD(30, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 151

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

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

GCD(2, 151) = 302 / 302

GCD(2, 151) = 1

GCD of 510, 720, 74, 151 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 731, 31, 691
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• GCD of 723, 765, 81, 206
• GCD of 289, 615, 69, 904
• GCD of 707, 755, 92, 491

1. What is the GCD of 510, 720, 74, 151?

GCD of 510, 720, 74, 151 is 1

2. Where do I get the detailed procedure to find GCD of 510, 720, 74, 151?

You can find a detailed procedure to find GCD of 510, 720, 74, 151 on our page.

3. How to find GCD of 510, 720, 74, 151 on a calculator?

You can find the GCD of 510, 720, 74, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.