GCD of 50, 692, 751, 316 Calculator

Given Input numbers are 50, 692, 751, 316

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 50, 692, 751, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 692, 751, 316 is 1.

Therefore, GCD of numbers 50, 692, 751, 316 is 1

Given Input Data is 50, 692, 751, 316

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 751 is 751

Prime Factorization of 316 is 2 x 2 x 79

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(50, 692) = 17300

GCD(50, 692) = ( 50 x 692 ) / 17300

GCD(50, 692) = 34600 / 17300

GCD(50, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 751

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

LCM(2, 751) = 1502

GCD(2, 751) = ( 2 x 751 ) / 1502

GCD(2, 751) = 1502 / 1502

GCD(2, 751) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 50, 692, 751, 316 is 1

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1. What is the GCD of 50, 692, 751, 316?

GCD of 50, 692, 751, 316 is 1

2. Where do I get the detailed procedure to find GCD of 50, 692, 751, 316?

You can find a detailed procedure to find GCD of 50, 692, 751, 316 on our page.

3. How to find GCD of 50, 692, 751, 316 on a calculator?

You can find the GCD of 50, 692, 751, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.