GCD of 196, 610, 934, 696 Calculator

Given Input numbers are 196, 610, 934, 696

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 196, 610, 934, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 610, 934, 696 is 2.

Therefore, GCD of numbers 196, 610, 934, 696 is 2

Given Input Data is 196, 610, 934, 696

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 934 is 2 x 467

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(196, 610) = 59780

GCD(196, 610) = ( 196 x 610 ) / 59780

GCD(196, 610) = 119560 / 59780

GCD(196, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 196, 610, 934, 696 is 2

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1. What is the GCD of 196, 610, 934, 696?

GCD of 196, 610, 934, 696 is 2

2. Where do I get the detailed procedure to find GCD of 196, 610, 934, 696?

You can find a detailed procedure to find GCD of 196, 610, 934, 696 on our page.

3. How to find GCD of 196, 610, 934, 696 on a calculator?

You can find the GCD of 196, 610, 934, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.