GCD of 694, 346, 98, 606 Calculator

Given Input numbers are 694, 346, 98, 606

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

Divisors of 694

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

1, 2, 347, 694

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 694, 346, 98, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 346, 98, 606 is 2.

Therefore, GCD of numbers 694, 346, 98, 606 is 2

Given Input Data is 694, 346, 98, 606

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 346 is 2 x 173

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 606 is 2 x 3 x 101

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(694, 346) = 120062

GCD(694, 346) = ( 694 x 346 ) / 120062

GCD(694, 346) = 240124 / 120062

GCD(694, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 606

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

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

GCD(2, 606) = 1212 / 606

GCD(2, 606) = 2

GCD of 694, 346, 98, 606 is 2

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1. What is the GCD of 694, 346, 98, 606?

GCD of 694, 346, 98, 606 is 2

2. Where do I get the detailed procedure to find GCD of 694, 346, 98, 606?

You can find a detailed procedure to find GCD of 694, 346, 98, 606 on our page.

3. How to find GCD of 694, 346, 98, 606 on a calculator?

You can find the GCD of 694, 346, 98, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.