GCD of 610, 956, 562, 850 Calculator

Given Input numbers are 610, 956, 562, 850

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 562

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

1, 2, 281, 562

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 610, 956, 562, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 956, 562, 850 is 2.

Therefore, GCD of numbers 610, 956, 562, 850 is 2

Given Input Data is 610, 956, 562, 850

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 956 is 2 x 2 x 239

Prime Factorization of 562 is 2 x 281

Prime Factorization of 850 is 2 x 5 x 5 x 17

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, 956) = 291580

GCD(610, 956) = ( 610 x 956 ) / 291580

GCD(610, 956) = 583160 / 291580

GCD(610, 956) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

GCD of 610, 956, 562, 850 is 2

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1. What is the GCD of 610, 956, 562, 850?

GCD of 610, 956, 562, 850 is 2

2. Where do I get the detailed procedure to find GCD of 610, 956, 562, 850?

You can find a detailed procedure to find GCD of 610, 956, 562, 850 on our page.

3. How to find GCD of 610, 956, 562, 850 on a calculator?

You can find the GCD of 610, 956, 562, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.