GCD of 610, 742, 84, 558 Calculator

Given Input numbers are 610, 742, 84, 558

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 610, 742, 84, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 742, 84, 558 is 2.

Therefore, GCD of numbers 610, 742, 84, 558 is 2

Given Input Data is 610, 742, 84, 558

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(610, 742) = 226310

GCD(610, 742) = ( 610 x 742 ) / 226310

GCD(610, 742) = 452620 / 226310

GCD(610, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 610, 742, 84, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 938, 45, 493
• GCD of 324, 325, 67, 968
• GCD of 992, 485, 47, 499
• GCD of 287, 956, 31, 469
• GCD of 691, 265, 82, 690

1. What is the GCD of 610, 742, 84, 558?

GCD of 610, 742, 84, 558 is 2

2. Where do I get the detailed procedure to find GCD of 610, 742, 84, 558?

You can find a detailed procedure to find GCD of 610, 742, 84, 558 on our page.

3. How to find GCD of 610, 742, 84, 558 on a calculator?

You can find the GCD of 610, 742, 84, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.