GCD of 706, 202, 87, 314 Calculator

Given Input numbers are 706, 202, 87, 314

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 202

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

1, 2, 101, 202

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 706, 202, 87, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 202, 87, 314 is 1.

Therefore, GCD of numbers 706, 202, 87, 314 is 1

Given Input Data is 706, 202, 87, 314

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 202 is 2 x 101

Prime Factorization of 87 is 3 x 29

Prime Factorization of 314 is 2 x 157

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(706, 202) = 71306

GCD(706, 202) = ( 706 x 202 ) / 71306

GCD(706, 202) = 142612 / 71306

GCD(706, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 706, 202, 87, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 376, 44, 141
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1. What is the GCD of 706, 202, 87, 314?

GCD of 706, 202, 87, 314 is 1

2. Where do I get the detailed procedure to find GCD of 706, 202, 87, 314?

You can find a detailed procedure to find GCD of 706, 202, 87, 314 on our page.

3. How to find GCD of 706, 202, 87, 314 on a calculator?

You can find the GCD of 706, 202, 87, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.