GCD of 98, 850, 890, 592 Calculator

Given Input numbers are 98, 850, 890, 592

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 98, 850, 890, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 850, 890, 592 is 2.

Therefore, GCD of numbers 98, 850, 890, 592 is 2

Given Input Data is 98, 850, 890, 592

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

Prime Factorization of 98 is 2 x 7 x 7

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(98, 850) = 41650

GCD(98, 850) = ( 98 x 850 ) / 41650

GCD(98, 850) = 83300 / 41650

GCD(98, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 98, 850, 890, 592 is 2

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1. What is the GCD of 98, 850, 890, 592?

GCD of 98, 850, 890, 592 is 2

2. Where do I get the detailed procedure to find GCD of 98, 850, 890, 592?

You can find a detailed procedure to find GCD of 98, 850, 890, 592 on our page.

3. How to find GCD of 98, 850, 890, 592 on a calculator?

You can find the GCD of 98, 850, 890, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.