GCD of 692, 922, 658, 377 Calculator

Given Input numbers are 692, 922, 658, 377

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 692, 922, 658, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 922, 658, 377 is 1.

Therefore, GCD of numbers 692, 922, 658, 377 is 1

Given Input Data is 692, 922, 658, 377

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 922 is 2 x 461

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 377 is 13 x 29

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, 922) = 319012

GCD(692, 922) = ( 692 x 922 ) / 319012

GCD(692, 922) = 638024 / 319012

GCD(692, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 658

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

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

GCD(2, 658) = 1316 / 658

GCD(2, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 692, 922, 658, 377 is 1

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1. What is the GCD of 692, 922, 658, 377?

GCD of 692, 922, 658, 377 is 1

2. Where do I get the detailed procedure to find GCD of 692, 922, 658, 377?

You can find a detailed procedure to find GCD of 692, 922, 658, 377 on our page.

3. How to find GCD of 692, 922, 658, 377 on a calculator?

You can find the GCD of 692, 922, 658, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.