GCD of 713, 202, 976, 207 Calculator

Given Input numbers are 713, 202, 976, 207

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 202

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

1, 2, 101, 202

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 713, 202, 976, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 202, 976, 207 is 1.

Therefore, GCD of numbers 713, 202, 976, 207 is 1

Given Input Data is 713, 202, 976, 207

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 202 is 2 x 101

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 207 is 3 x 3 x 23

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(713, 202) = 144026

GCD(713, 202) = ( 713 x 202 ) / 144026

GCD(713, 202) = 144026 / 144026

GCD(713, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 713, 202, 976, 207 is 1

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1. What is the GCD of 713, 202, 976, 207?

GCD of 713, 202, 976, 207 is 1

2. Where do I get the detailed procedure to find GCD of 713, 202, 976, 207?

You can find a detailed procedure to find GCD of 713, 202, 976, 207 on our page.

3. How to find GCD of 713, 202, 976, 207 on a calculator?

You can find the GCD of 713, 202, 976, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.