GCD of 71, 991, 548, 258 Calculator

Given Input numbers are 71, 991, 548, 258

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 71, 991, 548, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 991, 548, 258 is 1.

Therefore, GCD of numbers 71, 991, 548, 258 is 1

Given Input Data is 71, 991, 548, 258

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

Prime Factorization of 71 is 71

Prime Factorization of 991 is 991

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 258 is 2 x 3 x 43

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(71, 991) = 70361

GCD(71, 991) = ( 71 x 991 ) / 70361

GCD(71, 991) = 70361 / 70361

GCD(71, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 71, 991, 548, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 502, 690, 126
• GCD of 24, 431, 994, 603
• GCD of 76, 150, 959, 549
• GCD of 45, 352, 609, 543
• GCD of 59, 177, 826, 619

1. What is the GCD of 71, 991, 548, 258?

GCD of 71, 991, 548, 258 is 1

2. Where do I get the detailed procedure to find GCD of 71, 991, 548, 258?

You can find a detailed procedure to find GCD of 71, 991, 548, 258 on our page.

3. How to find GCD of 71, 991, 548, 258 on a calculator?

You can find the GCD of 71, 991, 548, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.