GCD of 692, 421, 69, 278 Calculator

Given Input numbers are 692, 421, 69, 278

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 692, 421, 69, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 421, 69, 278 is 1.

Therefore, GCD of numbers 692, 421, 69, 278 is 1

Given Input Data is 692, 421, 69, 278

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 421 is 421

Prime Factorization of 69 is 3 x 23

Prime Factorization of 278 is 2 x 139

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, 421) = 291332

GCD(692, 421) = ( 692 x 421 ) / 291332

GCD(692, 421) = 291332 / 291332

GCD(692, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 692, 421, 69, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 668, 60, 837
• GCD of 592, 493, 62, 616
• GCD of 734, 385, 80, 742
• GCD of 954, 376, 27, 517
• GCD of 207, 378, 62, 222

1. What is the GCD of 692, 421, 69, 278?

GCD of 692, 421, 69, 278 is 1

2. Where do I get the detailed procedure to find GCD of 692, 421, 69, 278?

You can find a detailed procedure to find GCD of 692, 421, 69, 278 on our page.

3. How to find GCD of 692, 421, 69, 278 on a calculator?

You can find the GCD of 692, 421, 69, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.