GCD of 935, 916, 971, 998 Calculator

Given Input numbers are 935, 916, 971, 998

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 935, 916, 971, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 916, 971, 998 is 1.

Therefore, GCD of numbers 935, 916, 971, 998 is 1

Given Input Data is 935, 916, 971, 998

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 971 is 971

Prime Factorization of 998 is 2 x 499

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(935, 916) = 856460

GCD(935, 916) = ( 935 x 916 ) / 856460

GCD(935, 916) = 856460 / 856460

GCD(935, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 935, 916, 971, 998 is 1

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• GCD of 850, 221, 670, 753
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1. What is the GCD of 935, 916, 971, 998?

GCD of 935, 916, 971, 998 is 1

2. Where do I get the detailed procedure to find GCD of 935, 916, 971, 998?

You can find a detailed procedure to find GCD of 935, 916, 971, 998 on our page.

3. How to find GCD of 935, 916, 971, 998 on a calculator?

You can find the GCD of 935, 916, 971, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.