GCD of 235, 203, 971, 616 Calculator

Given Input numbers are 235, 203, 971, 616

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 235, 203, 971, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 203, 971, 616 is 1.

Therefore, GCD of numbers 235, 203, 971, 616 is 1

Given Input Data is 235, 203, 971, 616

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 203 is 7 x 29

Prime Factorization of 971 is 971

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(235, 203) = 47705

GCD(235, 203) = ( 235 x 203 ) / 47705

GCD(235, 203) = 47705 / 47705

GCD(235, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 235, 203, 971, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 969, 192, 137
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• GCD of 620, 237, 949, 380

1. What is the GCD of 235, 203, 971, 616?

GCD of 235, 203, 971, 616 is 1

2. Where do I get the detailed procedure to find GCD of 235, 203, 971, 616?

You can find a detailed procedure to find GCD of 235, 203, 971, 616 on our page.

3. How to find GCD of 235, 203, 971, 616 on a calculator?

You can find the GCD of 235, 203, 971, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.