GCD of 196, 898, 535, 313 Calculator

Given Input numbers are 196, 898, 535, 313

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 196, 898, 535, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 898, 535, 313 is 1.

Therefore, GCD of numbers 196, 898, 535, 313 is 1

Given Input Data is 196, 898, 535, 313

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 898 is 2 x 449

Prime Factorization of 535 is 5 x 107

Prime Factorization of 313 is 313

The above numbers do not have any common prime factor. So GCD is 1

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, 898) = 88004

GCD(196, 898) = ( 196 x 898 ) / 88004

GCD(196, 898) = 176008 / 88004

GCD(196, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 535

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

LCM(2, 535) = 1070

GCD(2, 535) = ( 2 x 535 ) / 1070

GCD(2, 535) = 1070 / 1070

GCD(2, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 196, 898, 535, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 669, 144, 458
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• GCD of 175, 994, 490, 764
• GCD of 171, 302, 132, 902
• GCD of 547, 275, 313, 229

1. What is the GCD of 196, 898, 535, 313?

GCD of 196, 898, 535, 313 is 1

2. Where do I get the detailed procedure to find GCD of 196, 898, 535, 313?

You can find a detailed procedure to find GCD of 196, 898, 535, 313 on our page.

3. How to find GCD of 196, 898, 535, 313 on a calculator?

You can find the GCD of 196, 898, 535, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.