GCD of 502, 719, 49, 938 Calculator

Given Input numbers are 502, 719, 49, 938

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 502, 719, 49, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 719, 49, 938 is 1.

Therefore, GCD of numbers 502, 719, 49, 938 is 1

Given Input Data is 502, 719, 49, 938

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 719 is 719

Prime Factorization of 49 is 7 x 7

Prime Factorization of 938 is 2 x 7 x 67

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, 719) = 360938

GCD(502, 719) = ( 502 x 719 ) / 360938

GCD(502, 719) = 360938 / 360938

GCD(502, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 502, 719, 49, 938 is 1

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1. What is the GCD of 502, 719, 49, 938?

GCD of 502, 719, 49, 938 is 1

2. Where do I get the detailed procedure to find GCD of 502, 719, 49, 938?

You can find a detailed procedure to find GCD of 502, 719, 49, 938 on our page.

3. How to find GCD of 502, 719, 49, 938 on a calculator?

You can find the GCD of 502, 719, 49, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.