GCD of 60, 682, 450, 514 Calculator

Given Input numbers are 60, 682, 450, 514

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 60, 682, 450, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 682, 450, 514 is 2.

Therefore, GCD of numbers 60, 682, 450, 514 is 2

Given Input Data is 60, 682, 450, 514

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 514 is 2 x 257

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(60, 682) = 20460

GCD(60, 682) = ( 60 x 682 ) / 20460

GCD(60, 682) = 40920 / 20460

GCD(60, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 60, 682, 450, 514 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 543, 713, 820
• GCD of 19, 448, 117, 158
• GCD of 63, 778, 137, 450
• GCD of 11, 162, 785, 703
• GCD of 91, 187, 627, 181

1. What is the GCD of 60, 682, 450, 514?

GCD of 60, 682, 450, 514 is 2

2. Where do I get the detailed procedure to find GCD of 60, 682, 450, 514?

You can find a detailed procedure to find GCD of 60, 682, 450, 514 on our page.

3. How to find GCD of 60, 682, 450, 514 on a calculator?

You can find the GCD of 60, 682, 450, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.