GCD of 460, 490, 666, 562 Calculator

Given Input numbers are 460, 490, 666, 562

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 460, 490, 666, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 490, 666, 562 is 2.

Therefore, GCD of numbers 460, 490, 666, 562 is 2

Given Input Data is 460, 490, 666, 562

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 562 is 2 x 281

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(460, 490) = 22540

GCD(460, 490) = ( 460 x 490 ) / 22540

GCD(460, 490) = 225400 / 22540

GCD(460, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 666

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

LCM(10, 666) = 3330

GCD(10, 666) = ( 10 x 666 ) / 3330

GCD(10, 666) = 6660 / 3330

GCD(10, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 460, 490, 666, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 644, 999, 812
• GCD of 332, 166, 137, 703
• GCD of 528, 981, 338, 828
• GCD of 281, 262, 483, 945
• GCD of 782, 885, 638, 328

1. What is the GCD of 460, 490, 666, 562?

GCD of 460, 490, 666, 562 is 2

2. Where do I get the detailed procedure to find GCD of 460, 490, 666, 562?

You can find a detailed procedure to find GCD of 460, 490, 666, 562 on our page.

3. How to find GCD of 460, 490, 666, 562 on a calculator?

You can find the GCD of 460, 490, 666, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.