GCD of 974, 682, 44, 664 Calculator

Given Input numbers are 974, 682, 44, 664

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 974, 682, 44, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 682, 44, 664 is 2.

Therefore, GCD of numbers 974, 682, 44, 664 is 2

Given Input Data is 974, 682, 44, 664

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 664 is 2 x 2 x 2 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 682) = 332134

GCD(974, 682) = ( 974 x 682 ) / 332134

GCD(974, 682) = 664268 / 332134

GCD(974, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

GCD of 974, 682, 44, 664 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 405, 52, 174
• GCD of 190, 116, 45, 479
• GCD of 999, 351, 36, 991
• GCD of 253, 936, 32, 829
• GCD of 522, 657, 13, 446

1. What is the GCD of 974, 682, 44, 664?

GCD of 974, 682, 44, 664 is 2

2. Where do I get the detailed procedure to find GCD of 974, 682, 44, 664?

You can find a detailed procedure to find GCD of 974, 682, 44, 664 on our page.

3. How to find GCD of 974, 682, 44, 664 on a calculator?

You can find the GCD of 974, 682, 44, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.