GCD of 125, 249, 17, 670 Calculator

Given Input numbers are 125, 249, 17, 670

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 125, 249, 17, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 249, 17, 670 is 1.

Therefore, GCD of numbers 125, 249, 17, 670 is 1

Given Input Data is 125, 249, 17, 670

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 249 is 3 x 83

Prime Factorization of 17 is 17

Prime Factorization of 670 is 2 x 5 x 67

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(125, 249) = 31125

GCD(125, 249) = ( 125 x 249 ) / 31125

GCD(125, 249) = 31125 / 31125

GCD(125, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 125, 249, 17, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 540, 45, 803
• GCD of 323, 663, 28, 878
• GCD of 234, 875, 61, 262
• GCD of 862, 883, 57, 286
• GCD of 477, 611, 87, 956

1. What is the GCD of 125, 249, 17, 670?

GCD of 125, 249, 17, 670 is 1

2. Where do I get the detailed procedure to find GCD of 125, 249, 17, 670?

You can find a detailed procedure to find GCD of 125, 249, 17, 670 on our page.

3. How to find GCD of 125, 249, 17, 670 on a calculator?

You can find the GCD of 125, 249, 17, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.