GCD of 296, 752, 431, 820 Calculator

Given Input numbers are 296, 752, 431, 820

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 296, 752, 431, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 752, 431, 820 is 1.

Therefore, GCD of numbers 296, 752, 431, 820 is 1

Given Input Data is 296, 752, 431, 820

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 431 is 431

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(296, 752) = 27824

GCD(296, 752) = ( 296 x 752 ) / 27824

GCD(296, 752) = 222592 / 27824

GCD(296, 752) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 431

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

LCM(8, 431) = 3448

GCD(8, 431) = ( 8 x 431 ) / 3448

GCD(8, 431) = 3448 / 3448

GCD(8, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 296, 752, 431, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 450, 409, 618
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• GCD of 640, 517, 650, 479
• GCD of 858, 455, 516, 422
• GCD of 303, 373, 150, 815

1. What is the GCD of 296, 752, 431, 820?

GCD of 296, 752, 431, 820 is 1

2. Where do I get the detailed procedure to find GCD of 296, 752, 431, 820?

You can find a detailed procedure to find GCD of 296, 752, 431, 820 on our page.

3. How to find GCD of 296, 752, 431, 820 on a calculator?

You can find the GCD of 296, 752, 431, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.