GCD of 598, 989, 941, 268 Calculator

Given Input numbers are 598, 989, 941, 268

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 598, 989, 941, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 989, 941, 268 is 1.

Therefore, GCD of numbers 598, 989, 941, 268 is 1

Given Input Data is 598, 989, 941, 268

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 989 is 23 x 43

Prime Factorization of 941 is 941

Prime Factorization of 268 is 2 x 2 x 67

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(598, 989) = 25714

GCD(598, 989) = ( 598 x 989 ) / 25714

GCD(598, 989) = 591422 / 25714

GCD(598, 989) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 941

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

LCM(23, 941) = 21643

GCD(23, 941) = ( 23 x 941 ) / 21643

GCD(23, 941) = 21643 / 21643

GCD(23, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 598, 989, 941, 268 is 1

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1. What is the GCD of 598, 989, 941, 268?

GCD of 598, 989, 941, 268 is 1

2. Where do I get the detailed procedure to find GCD of 598, 989, 941, 268?

You can find a detailed procedure to find GCD of 598, 989, 941, 268 on our page.

3. How to find GCD of 598, 989, 941, 268 on a calculator?

You can find the GCD of 598, 989, 941, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.