GCD of 74, 974, 939, 448 Calculator

Given Input numbers are 74, 974, 939, 448

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 74, 974, 939, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 974, 939, 448 is 1.

Therefore, GCD of numbers 74, 974, 939, 448 is 1

Given Input Data is 74, 974, 939, 448

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 974 is 2 x 487

Prime Factorization of 939 is 3 x 313

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 974) = 36038

GCD(74, 974) = ( 74 x 974 ) / 36038

GCD(74, 974) = 72076 / 36038

GCD(74, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 939

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

LCM(2, 939) = 1878

GCD(2, 939) = ( 2 x 939 ) / 1878

GCD(2, 939) = 1878 / 1878

GCD(2, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 74, 974, 939, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 934, 757, 949
• GCD of 25, 240, 204, 349
• GCD of 56, 542, 450, 888
• GCD of 65, 771, 136, 417
• GCD of 17, 769, 245, 366

1. What is the GCD of 74, 974, 939, 448?

GCD of 74, 974, 939, 448 is 1

2. Where do I get the detailed procedure to find GCD of 74, 974, 939, 448?

You can find a detailed procedure to find GCD of 74, 974, 939, 448 on our page.

3. How to find GCD of 74, 974, 939, 448 on a calculator?

You can find the GCD of 74, 974, 939, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.