GCD of 312, 749, 824, 262 Calculator

Given Input numbers are 312, 749, 824, 262

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 749

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

1, 7, 107, 749

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 312, 749, 824, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 749, 824, 262 is 1.

Therefore, GCD of numbers 312, 749, 824, 262 is 1

Given Input Data is 312, 749, 824, 262

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 749 is 7 x 107

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 262 is 2 x 131

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(312, 749) = 233688

GCD(312, 749) = ( 312 x 749 ) / 233688

GCD(312, 749) = 233688 / 233688

GCD(312, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

GCD of 312, 749, 824, 262 is 1

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1. What is the GCD of 312, 749, 824, 262?

GCD of 312, 749, 824, 262 is 1

2. Where do I get the detailed procedure to find GCD of 312, 749, 824, 262?

You can find a detailed procedure to find GCD of 312, 749, 824, 262 on our page.

3. How to find GCD of 312, 749, 824, 262 on a calculator?

You can find the GCD of 312, 749, 824, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.