GCD of 670, 500, 17, 762 Calculator

Given Input numbers are 670, 500, 17, 762

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

Divisors of 670

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

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 17

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

1, 17

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 670, 500, 17, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 500, 17, 762 is 1.

Therefore, GCD of numbers 670, 500, 17, 762 is 1

Given Input Data is 670, 500, 17, 762

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 17 is 17

Prime Factorization of 762 is 2 x 3 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(670, 500) = 33500

GCD(670, 500) = ( 670 x 500 ) / 33500

GCD(670, 500) = 335000 / 33500

GCD(670, 500) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 17

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

LCM(10, 17) = 170

GCD(10, 17) = ( 10 x 17 ) / 170

GCD(10, 17) = 170 / 170

GCD(10, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 670, 500, 17, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 850, 86, 993
• GCD of 801, 449, 68, 604
• GCD of 536, 503, 51, 921
• GCD of 204, 483, 55, 794
• GCD of 770, 427, 97, 458

1. What is the GCD of 670, 500, 17, 762?

GCD of 670, 500, 17, 762 is 1

2. Where do I get the detailed procedure to find GCD of 670, 500, 17, 762?

You can find a detailed procedure to find GCD of 670, 500, 17, 762 on our page.

3. How to find GCD of 670, 500, 17, 762 on a calculator?

You can find the GCD of 670, 500, 17, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.