GCD of 502, 343, 416, 101 Calculator

Given Input numbers are 502, 343, 416, 101

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 502, 343, 416, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 343, 416, 101 is 1.

Therefore, GCD of numbers 502, 343, 416, 101 is 1

Given Input Data is 502, 343, 416, 101

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 101 is 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(502, 343) = 172186

GCD(502, 343) = ( 502 x 343 ) / 172186

GCD(502, 343) = 172186 / 172186

GCD(502, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 502, 343, 416, 101 is 1

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• GCD of 160, 234, 799, 718
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1. What is the GCD of 502, 343, 416, 101?

GCD of 502, 343, 416, 101 is 1

2. Where do I get the detailed procedure to find GCD of 502, 343, 416, 101?

You can find a detailed procedure to find GCD of 502, 343, 416, 101 on our page.

3. How to find GCD of 502, 343, 416, 101 on a calculator?

You can find the GCD of 502, 343, 416, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.