GCD of 334, 119, 921, 689 Calculator

Given Input numbers are 334, 119, 921, 689

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 334, 119, 921, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 119, 921, 689 is 1.

Therefore, GCD of numbers 334, 119, 921, 689 is 1

Given Input Data is 334, 119, 921, 689

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 119 is 7 x 17

Prime Factorization of 921 is 3 x 307

Prime Factorization of 689 is 13 x 53

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(334, 119) = 39746

GCD(334, 119) = ( 334 x 119 ) / 39746

GCD(334, 119) = 39746 / 39746

GCD(334, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 334, 119, 921, 689 is 1

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1. What is the GCD of 334, 119, 921, 689?

GCD of 334, 119, 921, 689 is 1

2. Where do I get the detailed procedure to find GCD of 334, 119, 921, 689?

You can find a detailed procedure to find GCD of 334, 119, 921, 689 on our page.

3. How to find GCD of 334, 119, 921, 689 on a calculator?

You can find the GCD of 334, 119, 921, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.