GCD of 88, 148, 365, 510 Calculator

Given Input numbers are 88, 148, 365, 510

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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

Greatest Common Divisior

We found the divisors of 88, 148, 365, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 148, 365, 510 is 1.

Therefore, GCD of numbers 88, 148, 365, 510 is 1

Given Input Data is 88, 148, 365, 510

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 365 is 5 x 73

Prime Factorization of 510 is 2 x 3 x 5 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(88, 148) = 3256

GCD(88, 148) = ( 88 x 148 ) / 3256

GCD(88, 148) = 13024 / 3256

GCD(88, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 365

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

LCM(4, 365) = 1460

GCD(4, 365) = ( 4 x 365 ) / 1460

GCD(4, 365) = 1460 / 1460

GCD(4, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 88, 148, 365, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 177, 907, 717
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• GCD of 19, 983, 464, 515
• GCD of 56, 764, 668, 486
• GCD of 29, 398, 845, 875

1. What is the GCD of 88, 148, 365, 510?

GCD of 88, 148, 365, 510 is 1

2. Where do I get the detailed procedure to find GCD of 88, 148, 365, 510?

You can find a detailed procedure to find GCD of 88, 148, 365, 510 on our page.

3. How to find GCD of 88, 148, 365, 510 on a calculator?

You can find the GCD of 88, 148, 365, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.