GCD of 898, 356, 669, 958 Calculator

Given Input numbers are 898, 356, 669, 958

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 898, 356, 669, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 356, 669, 958 is 1.

Therefore, GCD of numbers 898, 356, 669, 958 is 1

Given Input Data is 898, 356, 669, 958

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 669 is 3 x 223

Prime Factorization of 958 is 2 x 479

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(898, 356) = 159844

GCD(898, 356) = ( 898 x 356 ) / 159844

GCD(898, 356) = 319688 / 159844

GCD(898, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 898, 356, 669, 958 is 1

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1. What is the GCD of 898, 356, 669, 958?

GCD of 898, 356, 669, 958 is 1

2. Where do I get the detailed procedure to find GCD of 898, 356, 669, 958?

You can find a detailed procedure to find GCD of 898, 356, 669, 958 on our page.

3. How to find GCD of 898, 356, 669, 958 on a calculator?

You can find the GCD of 898, 356, 669, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.