GCD of 742, 476, 117, 502 Calculator

Given Input numbers are 742, 476, 117, 502

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 742, 476, 117, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 476, 117, 502 is 1.

Therefore, GCD of numbers 742, 476, 117, 502 is 1

Given Input Data is 742, 476, 117, 502

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 476 is 2 x 2 x 7 x 17

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 502 is 2 x 251

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, 476) = 25228

GCD(742, 476) = ( 742 x 476 ) / 25228

GCD(742, 476) = 353192 / 25228

GCD(742, 476) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 117

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

LCM(14, 117) = 1638

GCD(14, 117) = ( 14 x 117 ) / 1638

GCD(14, 117) = 1638 / 1638

GCD(14, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 742, 476, 117, 502 is 1

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• GCD of 518, 353, 692, 647
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• GCD of 819, 735, 230, 155

1. What is the GCD of 742, 476, 117, 502?

GCD of 742, 476, 117, 502 is 1

2. Where do I get the detailed procedure to find GCD of 742, 476, 117, 502?

You can find a detailed procedure to find GCD of 742, 476, 117, 502 on our page.

3. How to find GCD of 742, 476, 117, 502 on a calculator?

You can find the GCD of 742, 476, 117, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.