GCD of 617, 508, 70, 254 Calculator

Given Input numbers are 617, 508, 70, 254

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 617, 508, 70, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 508, 70, 254 is 1.

Therefore, GCD of numbers 617, 508, 70, 254 is 1

Given Input Data is 617, 508, 70, 254

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

Prime Factorization of 617 is 617

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 254 is 2 x 127

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(617, 508) = 313436

GCD(617, 508) = ( 617 x 508 ) / 313436

GCD(617, 508) = 313436 / 313436

GCD(617, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 617, 508, 70, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 526, 58, 481
• GCD of 695, 637, 31, 156
• GCD of 851, 388, 94, 144
• GCD of 702, 108, 91, 260
• GCD of 863, 690, 57, 300

1. What is the GCD of 617, 508, 70, 254?

GCD of 617, 508, 70, 254 is 1

2. Where do I get the detailed procedure to find GCD of 617, 508, 70, 254?

You can find a detailed procedure to find GCD of 617, 508, 70, 254 on our page.

3. How to find GCD of 617, 508, 70, 254 on a calculator?

You can find the GCD of 617, 508, 70, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.