GCD of 661, 112, 301, 265 Calculator

Given Input numbers are 661, 112, 301, 265

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 661, 112, 301, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 112, 301, 265 is 1.

Therefore, GCD of numbers 661, 112, 301, 265 is 1

Given Input Data is 661, 112, 301, 265

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

Prime Factorization of 661 is 661

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 301 is 7 x 43

Prime Factorization of 265 is 5 x 53

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(661, 112) = 74032

GCD(661, 112) = ( 661 x 112 ) / 74032

GCD(661, 112) = 74032 / 74032

GCD(661, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 661, 112, 301, 265 is 1

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1. What is the GCD of 661, 112, 301, 265?

GCD of 661, 112, 301, 265 is 1

2. Where do I get the detailed procedure to find GCD of 661, 112, 301, 265?

You can find a detailed procedure to find GCD of 661, 112, 301, 265 on our page.

3. How to find GCD of 661, 112, 301, 265 on a calculator?

You can find the GCD of 661, 112, 301, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.