GCD of 258, 964, 49, 277 Calculator

Given Input numbers are 258, 964, 49, 277

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

Divisors of 258

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

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 258, 964, 49, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 964, 49, 277 is 1.

Therefore, GCD of numbers 258, 964, 49, 277 is 1

Given Input Data is 258, 964, 49, 277

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 49 is 7 x 7

Prime Factorization of 277 is 277

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(258, 964) = 124356

GCD(258, 964) = ( 258 x 964 ) / 124356

GCD(258, 964) = 248712 / 124356

GCD(258, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 258, 964, 49, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 110, 86, 789
• GCD of 952, 986, 42, 306
• GCD of 864, 880, 23, 618
• GCD of 276, 991, 66, 385
• GCD of 137, 606, 82, 356

1. What is the GCD of 258, 964, 49, 277?

GCD of 258, 964, 49, 277 is 1

2. Where do I get the detailed procedure to find GCD of 258, 964, 49, 277?

You can find a detailed procedure to find GCD of 258, 964, 49, 277 on our page.

3. How to find GCD of 258, 964, 49, 277 on a calculator?

You can find the GCD of 258, 964, 49, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.