GCD of 374, 667, 686, 892 Calculator

Given Input numbers are 374, 667, 686, 892

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 374, 667, 686, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 667, 686, 892 is 1.

Therefore, GCD of numbers 374, 667, 686, 892 is 1

Given Input Data is 374, 667, 686, 892

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 667 is 23 x 29

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 892 is 2 x 2 x 223

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(374, 667) = 249458

GCD(374, 667) = ( 374 x 667 ) / 249458

GCD(374, 667) = 249458 / 249458

GCD(374, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 374, 667, 686, 892 is 1

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1. What is the GCD of 374, 667, 686, 892?

GCD of 374, 667, 686, 892 is 1

2. Where do I get the detailed procedure to find GCD of 374, 667, 686, 892?

You can find a detailed procedure to find GCD of 374, 667, 686, 892 on our page.

3. How to find GCD of 374, 667, 686, 892 on a calculator?

You can find the GCD of 374, 667, 686, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.