GCD of 749, 467, 96, 258 Calculator

Given Input numbers are 749, 467, 96, 258

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 749, 467, 96, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 467, 96, 258 is 1.

Therefore, GCD of numbers 749, 467, 96, 258 is 1

Given Input Data is 749, 467, 96, 258

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 467 is 467

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(749, 467) = 349783

GCD(749, 467) = ( 749 x 467 ) / 349783

GCD(749, 467) = 349783 / 349783

GCD(749, 467) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 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 749, 467, 96, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 397, 68, 448
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• GCD of 497, 338, 91, 864
• GCD of 343, 470, 80, 624
• GCD of 886, 861, 21, 894

1. What is the GCD of 749, 467, 96, 258?

GCD of 749, 467, 96, 258 is 1

2. Where do I get the detailed procedure to find GCD of 749, 467, 96, 258?

You can find a detailed procedure to find GCD of 749, 467, 96, 258 on our page.

3. How to find GCD of 749, 467, 96, 258 on a calculator?

You can find the GCD of 749, 467, 96, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.