GCD of 998, 103, 564, 157 Calculator

Given Input numbers are 998, 103, 564, 157

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 998, 103, 564, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 103, 564, 157 is 1.

Therefore, GCD of numbers 998, 103, 564, 157 is 1

Given Input Data is 998, 103, 564, 157

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 103 is 103

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 157 is 157

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(998, 103) = 102794

GCD(998, 103) = ( 998 x 103 ) / 102794

GCD(998, 103) = 102794 / 102794

GCD(998, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 998, 103, 564, 157 is 1

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• GCD of 677, 715, 484, 590
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1. What is the GCD of 998, 103, 564, 157?

GCD of 998, 103, 564, 157 is 1

2. Where do I get the detailed procedure to find GCD of 998, 103, 564, 157?

You can find a detailed procedure to find GCD of 998, 103, 564, 157 on our page.

3. How to find GCD of 998, 103, 564, 157 on a calculator?

You can find the GCD of 998, 103, 564, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.