GCD of 692, 378, 77, 680 Calculator

Given Input numbers are 692, 378, 77, 680

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 692, 378, 77, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 378, 77, 680 is 1.

Therefore, GCD of numbers 692, 378, 77, 680 is 1

Given Input Data is 692, 378, 77, 680

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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, 378) = 130788

GCD(692, 378) = ( 692 x 378 ) / 130788

GCD(692, 378) = 261576 / 130788

GCD(692, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 692, 378, 77, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 267, 73, 319
• GCD of 934, 848, 39, 900
• GCD of 774, 317, 72, 720
• GCD of 687, 811, 72, 203
• GCD of 610, 938, 51, 778

1. What is the GCD of 692, 378, 77, 680?

GCD of 692, 378, 77, 680 is 1

2. Where do I get the detailed procedure to find GCD of 692, 378, 77, 680?

You can find a detailed procedure to find GCD of 692, 378, 77, 680 on our page.

3. How to find GCD of 692, 378, 77, 680 on a calculator?

You can find the GCD of 692, 378, 77, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.