GCD of 614, 357, 202, 174 Calculator

Given Input numbers are 614, 357, 202, 174

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 614, 357, 202, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 357, 202, 174 is 1.

Therefore, GCD of numbers 614, 357, 202, 174 is 1

Given Input Data is 614, 357, 202, 174

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 202 is 2 x 101

Prime Factorization of 174 is 2 x 3 x 29

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(614, 357) = 219198

GCD(614, 357) = ( 614 x 357 ) / 219198

GCD(614, 357) = 219198 / 219198

GCD(614, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 614, 357, 202, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 529, 750, 336
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• GCD of 557, 944, 712, 327
• GCD of 104, 974, 135, 151

1. What is the GCD of 614, 357, 202, 174?

GCD of 614, 357, 202, 174 is 1

2. Where do I get the detailed procedure to find GCD of 614, 357, 202, 174?

You can find a detailed procedure to find GCD of 614, 357, 202, 174 on our page.

3. How to find GCD of 614, 357, 202, 174 on a calculator?

You can find the GCD of 614, 357, 202, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.