GCD of 698, 762, 457 Calculator

Given Input numbers are 698, 762, 457

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 762

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

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 698, 762, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 762, 457 is 1.

Therefore, GCD of numbers 698, 762, 457 is 1

Given Input Data is 698, 762, 457

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 457 is 457

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(698, 762) = 265938

GCD(698, 762) = ( 698 x 762 ) / 265938

GCD(698, 762) = 531876 / 265938

GCD(698, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

GCD of 698, 762, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 250, 588
• GCD of 161, 850, 458
• GCD of 879, 952, 379
• GCD of 605, 565, 831
• GCD of 460, 458, 966

1. What is the GCD of 698, 762, 457?

GCD of 698, 762, 457 is 1

2. Where do I get the detailed procedure to find GCD of 698, 762, 457?

You can find a detailed procedure to find GCD of 698, 762, 457 on our page.

3. How to find GCD of 698, 762, 457 on a calculator?

You can find the GCD of 698, 762, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.