GCD of 902, 596, 698, 368 Calculator

Given Input numbers are 902, 596, 698, 368

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 902, 596, 698, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 596, 698, 368 is 2.

Therefore, GCD of numbers 902, 596, 698, 368 is 2

Given Input Data is 902, 596, 698, 368

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 698 is 2 x 349

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(902, 596) = 268796

GCD(902, 596) = ( 902 x 596 ) / 268796

GCD(902, 596) = 537592 / 268796

GCD(902, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 902, 596, 698, 368 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 519, 880, 796
• GCD of 506, 394, 111, 828
• GCD of 347, 657, 711, 734
• GCD of 238, 698, 736, 634
• GCD of 375, 296, 690, 811

1. What is the GCD of 902, 596, 698, 368?

GCD of 902, 596, 698, 368 is 2

2. Where do I get the detailed procedure to find GCD of 902, 596, 698, 368?

You can find a detailed procedure to find GCD of 902, 596, 698, 368 on our page.

3. How to find GCD of 902, 596, 698, 368 on a calculator?

You can find the GCD of 902, 596, 698, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.