GCD of 682, 120, 472, 527 Calculator

Given Input numbers are 682, 120, 472, 527

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

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 682, 120, 472, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 120, 472, 527 is 1.

Therefore, GCD of numbers 682, 120, 472, 527 is 1

Given Input Data is 682, 120, 472, 527

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 527 is 17 x 31

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(682, 120) = 40920

GCD(682, 120) = ( 682 x 120 ) / 40920

GCD(682, 120) = 81840 / 40920

GCD(682, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

GCD of 682, 120, 472, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 368, 915, 846
• GCD of 814, 337, 981, 520
• GCD of 821, 665, 905, 898
• GCD of 492, 502, 892, 727
• GCD of 918, 583, 375, 374

1. What is the GCD of 682, 120, 472, 527?

GCD of 682, 120, 472, 527 is 1

2. Where do I get the detailed procedure to find GCD of 682, 120, 472, 527?

You can find a detailed procedure to find GCD of 682, 120, 472, 527 on our page.

3. How to find GCD of 682, 120, 472, 527 on a calculator?

You can find the GCD of 682, 120, 472, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.