GCD of 50, 941, 310, 274 Calculator

Given Input numbers are 50, 941, 310, 274

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 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 50, 941, 310, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 941, 310, 274 is 1.

Therefore, GCD of numbers 50, 941, 310, 274 is 1

Given Input Data is 50, 941, 310, 274

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 941 is 941

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 274 is 2 x 137

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, 941) = 47050

GCD(50, 941) = ( 50 x 941 ) / 47050

GCD(50, 941) = 47050 / 47050

GCD(50, 941) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 50, 941, 310, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 714, 572, 624
• GCD of 14, 819, 681, 396
• GCD of 36, 826, 439, 903
• GCD of 73, 480, 699, 550
• GCD of 18, 732, 862, 980

1. What is the GCD of 50, 941, 310, 274?

GCD of 50, 941, 310, 274 is 1

2. Where do I get the detailed procedure to find GCD of 50, 941, 310, 274?

You can find a detailed procedure to find GCD of 50, 941, 310, 274 on our page.

3. How to find GCD of 50, 941, 310, 274 on a calculator?

You can find the GCD of 50, 941, 310, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.