GCD of 692, 340, 83, 125 Calculator

Given Input numbers are 692, 340, 83, 125

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 125

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

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 692, 340, 83, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 340, 83, 125 is 1.

Therefore, GCD of numbers 692, 340, 83, 125 is 1

Given Input Data is 692, 340, 83, 125

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 340 is 2 x 2 x 5 x 17

Prime Factorization of 83 is 83

Prime Factorization of 125 is 5 x 5 x 5

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, 340) = 58820

GCD(692, 340) = ( 692 x 340 ) / 58820

GCD(692, 340) = 235280 / 58820

GCD(692, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 83

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

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

GCD(4, 83) = 332 / 332

GCD(4, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 692, 340, 83, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 669, 51, 389
• GCD of 149, 923, 97, 406
• GCD of 364, 127, 41, 905
• GCD of 401, 832, 21, 892
• GCD of 107, 279, 21, 895

1. What is the GCD of 692, 340, 83, 125?

GCD of 692, 340, 83, 125 is 1

2. Where do I get the detailed procedure to find GCD of 692, 340, 83, 125?

You can find a detailed procedure to find GCD of 692, 340, 83, 125 on our page.

3. How to find GCD of 692, 340, 83, 125 on a calculator?

You can find the GCD of 692, 340, 83, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.