GCD of 692, 718, 339, 974 Calculator

Given Input numbers are 692, 718, 339, 974

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 692, 718, 339, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 718, 339, 974 is 1.

Therefore, GCD of numbers 692, 718, 339, 974 is 1

Given Input Data is 692, 718, 339, 974

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 718 is 2 x 359

Prime Factorization of 339 is 3 x 113

Prime Factorization of 974 is 2 x 487

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(692, 718) = 248428

GCD(692, 718) = ( 692 x 718 ) / 248428

GCD(692, 718) = 496856 / 248428

GCD(692, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 692, 718, 339, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 360, 113, 465
• GCD of 387, 603, 609, 505
• GCD of 267, 551, 473, 563
• GCD of 974, 774, 352, 944
• GCD of 124, 250, 663, 210

1. What is the GCD of 692, 718, 339, 974?

GCD of 692, 718, 339, 974 is 1

2. Where do I get the detailed procedure to find GCD of 692, 718, 339, 974?

You can find a detailed procedure to find GCD of 692, 718, 339, 974 on our page.

3. How to find GCD of 692, 718, 339, 974 on a calculator?

You can find the GCD of 692, 718, 339, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.