GCD of 98, 694, 164, 419 Calculator

Given Input numbers are 98, 694, 164, 419

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 98, 694, 164, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 694, 164, 419 is 1.

Therefore, GCD of numbers 98, 694, 164, 419 is 1

Given Input Data is 98, 694, 164, 419

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 694 is 2 x 347

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 419 is 419

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(98, 694) = 34006

GCD(98, 694) = ( 98 x 694 ) / 34006

GCD(98, 694) = 68012 / 34006

GCD(98, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 419

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

LCM(2, 419) = 838

GCD(2, 419) = ( 2 x 419 ) / 838

GCD(2, 419) = 838 / 838

GCD(2, 419) = 1

GCD of 98, 694, 164, 419 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 902, 605, 887
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• GCD of 48, 734, 359, 804
• GCD of 65, 839, 224, 814
• GCD of 67, 733, 150, 856

1. What is the GCD of 98, 694, 164, 419?

GCD of 98, 694, 164, 419 is 1

2. Where do I get the detailed procedure to find GCD of 98, 694, 164, 419?

You can find a detailed procedure to find GCD of 98, 694, 164, 419 on our page.

3. How to find GCD of 98, 694, 164, 419 on a calculator?

You can find the GCD of 98, 694, 164, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.