GCD of 469, 298, 889, 356 Calculator

Given Input numbers are 469, 298, 889, 356

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 356

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

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 469, 298, 889, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 298, 889, 356 is 1.

Therefore, GCD of numbers 469, 298, 889, 356 is 1

Given Input Data is 469, 298, 889, 356

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 298 is 2 x 149

Prime Factorization of 889 is 7 x 127

Prime Factorization of 356 is 2 x 2 x 89

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(469, 298) = 139762

GCD(469, 298) = ( 469 x 298 ) / 139762

GCD(469, 298) = 139762 / 139762

GCD(469, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 469, 298, 889, 356 is 1

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1. What is the GCD of 469, 298, 889, 356?

GCD of 469, 298, 889, 356 is 1

2. Where do I get the detailed procedure to find GCD of 469, 298, 889, 356?

You can find a detailed procedure to find GCD of 469, 298, 889, 356 on our page.

3. How to find GCD of 469, 298, 889, 356 on a calculator?

You can find the GCD of 469, 298, 889, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.