GCD of 203, 350, 85, 742 Calculator

Given Input numbers are 203, 350, 85, 742

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 203, 350, 85, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 350, 85, 742 is 1.

Therefore, GCD of numbers 203, 350, 85, 742 is 1

Given Input Data is 203, 350, 85, 742

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 742 is 2 x 7 x 53

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(203, 350) = 10150

GCD(203, 350) = ( 203 x 350 ) / 10150

GCD(203, 350) = 71050 / 10150

GCD(203, 350) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 85

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

LCM(7, 85) = 595

GCD(7, 85) = ( 7 x 85 ) / 595

GCD(7, 85) = 595 / 595

GCD(7, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 203, 350, 85, 742 is 1

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• GCD of 127, 378, 74, 569
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1. What is the GCD of 203, 350, 85, 742?

GCD of 203, 350, 85, 742 is 1

2. Where do I get the detailed procedure to find GCD of 203, 350, 85, 742?

You can find a detailed procedure to find GCD of 203, 350, 85, 742 on our page.

3. How to find GCD of 203, 350, 85, 742 on a calculator?

You can find the GCD of 203, 350, 85, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.