GCD of 499, 311, 746, 202 Calculator

Given Input numbers are 499, 311, 746, 202

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 499, 311, 746, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 311, 746, 202 is 1.

Therefore, GCD of numbers 499, 311, 746, 202 is 1

Given Input Data is 499, 311, 746, 202

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

Prime Factorization of 499 is 499

Prime Factorization of 311 is 311

Prime Factorization of 746 is 2 x 373

Prime Factorization of 202 is 2 x 101

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(499, 311) = 155189

GCD(499, 311) = ( 499 x 311 ) / 155189

GCD(499, 311) = 155189 / 155189

GCD(499, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 499, 311, 746, 202 is 1

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1. What is the GCD of 499, 311, 746, 202?

GCD of 499, 311, 746, 202 is 1

2. Where do I get the detailed procedure to find GCD of 499, 311, 746, 202?

You can find a detailed procedure to find GCD of 499, 311, 746, 202 on our page.

3. How to find GCD of 499, 311, 746, 202 on a calculator?

You can find the GCD of 499, 311, 746, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.