GCD of 74, 382, 971, 250 Calculator

Given Input numbers are 74, 382, 971, 250

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 74, 382, 971, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 382, 971, 250 is 1.

Therefore, GCD of numbers 74, 382, 971, 250 is 1

Given Input Data is 74, 382, 971, 250

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 382 is 2 x 191

Prime Factorization of 971 is 971

Prime Factorization of 250 is 2 x 5 x 5 x 5

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(74, 382) = 14134

GCD(74, 382) = ( 74 x 382 ) / 14134

GCD(74, 382) = 28268 / 14134

GCD(74, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 74, 382, 971, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 984, 642, 189
• GCD of 15, 777, 669, 613
• GCD of 67, 459, 448, 106
• GCD of 35, 993, 427, 439
• GCD of 12, 431, 472, 540

1. What is the GCD of 74, 382, 971, 250?

GCD of 74, 382, 971, 250 is 1

2. Where do I get the detailed procedure to find GCD of 74, 382, 971, 250?

You can find a detailed procedure to find GCD of 74, 382, 971, 250 on our page.

3. How to find GCD of 74, 382, 971, 250 on a calculator?

You can find the GCD of 74, 382, 971, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.