GCD of 527, 998, 942, 943 Calculator

Given Input numbers are 527, 998, 942, 943

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 998

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

1, 2, 499, 998

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 527, 998, 942, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 998, 942, 943 is 1.

Therefore, GCD of numbers 527, 998, 942, 943 is 1

Given Input Data is 527, 998, 942, 943

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 998 is 2 x 499

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 943 is 23 x 41

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(527, 998) = 525946

GCD(527, 998) = ( 527 x 998 ) / 525946

GCD(527, 998) = 525946 / 525946

GCD(527, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 527, 998, 942, 943 is 1

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1. What is the GCD of 527, 998, 942, 943?

GCD of 527, 998, 942, 943 is 1

2. Where do I get the detailed procedure to find GCD of 527, 998, 942, 943?

You can find a detailed procedure to find GCD of 527, 998, 942, 943 on our page.

3. How to find GCD of 527, 998, 942, 943 on a calculator?

You can find the GCD of 527, 998, 942, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.