GCD of 742, 920, 83, 532 Calculator

Given Input numbers are 742, 920, 83, 532

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 742, 920, 83, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 920, 83, 532 is 1.

Therefore, GCD of numbers 742, 920, 83, 532 is 1

Given Input Data is 742, 920, 83, 532

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 83 is 83

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(742, 920) = 341320

GCD(742, 920) = ( 742 x 920 ) / 341320

GCD(742, 920) = 682640 / 341320

GCD(742, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 742, 920, 83, 532 is 1

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• GCD of 263, 499, 40, 785
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• GCD of 602, 310, 81, 391

1. What is the GCD of 742, 920, 83, 532?

GCD of 742, 920, 83, 532 is 1

2. Where do I get the detailed procedure to find GCD of 742, 920, 83, 532?

You can find a detailed procedure to find GCD of 742, 920, 83, 532 on our page.

3. How to find GCD of 742, 920, 83, 532 on a calculator?

You can find the GCD of 742, 920, 83, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.