GCD of 984, 448, 67, 374 Calculator

Given Input numbers are 984, 448, 67, 374

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 984, 448, 67, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 448, 67, 374 is 1.

Therefore, GCD of numbers 984, 448, 67, 374 is 1

Given Input Data is 984, 448, 67, 374

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Prime Factorization of 67 is 67

Prime Factorization of 374 is 2 x 11 x 17

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(984, 448) = 55104

GCD(984, 448) = ( 984 x 448 ) / 55104

GCD(984, 448) = 440832 / 55104

GCD(984, 448) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 67

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

LCM(8, 67) = 536

GCD(8, 67) = ( 8 x 67 ) / 536

GCD(8, 67) = 536 / 536

GCD(8, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 984, 448, 67, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 365, 17, 309
• GCD of 710, 901, 82, 480
• GCD of 897, 376, 68, 593
• GCD of 102, 629, 35, 238
• GCD of 321, 442, 20, 584

1. What is the GCD of 984, 448, 67, 374?

GCD of 984, 448, 67, 374 is 1

2. Where do I get the detailed procedure to find GCD of 984, 448, 67, 374?

You can find a detailed procedure to find GCD of 984, 448, 67, 374 on our page.

3. How to find GCD of 984, 448, 67, 374 on a calculator?

You can find the GCD of 984, 448, 67, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.