GCD of 974, 646, 752, 737 Calculator

Given Input numbers are 974, 646, 752, 737

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 974, 646, 752, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 646, 752, 737 is 1.

Therefore, GCD of numbers 974, 646, 752, 737 is 1

Given Input Data is 974, 646, 752, 737

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 737 is 11 x 67

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(974, 646) = 314602

GCD(974, 646) = ( 974 x 646 ) / 314602

GCD(974, 646) = 629204 / 314602

GCD(974, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 974, 646, 752, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 364, 768, 485
• GCD of 389, 803, 713, 365
• GCD of 628, 670, 386, 914
• GCD of 111, 301, 462, 341
• GCD of 908, 386, 355, 746

1. What is the GCD of 974, 646, 752, 737?

GCD of 974, 646, 752, 737 is 1

2. Where do I get the detailed procedure to find GCD of 974, 646, 752, 737?

You can find a detailed procedure to find GCD of 974, 646, 752, 737 on our page.

3. How to find GCD of 974, 646, 752, 737 on a calculator?

You can find the GCD of 974, 646, 752, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.