GCD of 537, 278, 10, 305 Calculator

Given Input numbers are 537, 278, 10, 305

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 537, 278, 10, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 278, 10, 305 is 1.

Therefore, GCD of numbers 537, 278, 10, 305 is 1

Given Input Data is 537, 278, 10, 305

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 278 is 2 x 139

Prime Factorization of 10 is 2 x 5

Prime Factorization of 305 is 5 x 61

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(537, 278) = 149286

GCD(537, 278) = ( 537 x 278 ) / 149286

GCD(537, 278) = 149286 / 149286

GCD(537, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 537, 278, 10, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 681, 55, 567
• GCD of 995, 290, 58, 385
• GCD of 254, 951, 75, 707
• GCD of 368, 185, 56, 576
• GCD of 524, 140, 43, 410

1. What is the GCD of 537, 278, 10, 305?

GCD of 537, 278, 10, 305 is 1

2. Where do I get the detailed procedure to find GCD of 537, 278, 10, 305?

You can find a detailed procedure to find GCD of 537, 278, 10, 305 on our page.

3. How to find GCD of 537, 278, 10, 305 on a calculator?

You can find the GCD of 537, 278, 10, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.