GCD of 961, 735, 217 Calculator

Given Input numbers are 961, 735, 217

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 961, 735, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 735, 217 is 1.

Therefore, GCD of numbers 961, 735, 217 is 1

Given Input Data is 961, 735, 217

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 217 is 7 x 31

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(961, 735) = 706335

GCD(961, 735) = ( 961 x 735 ) / 706335

GCD(961, 735) = 706335 / 706335

GCD(961, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 961, 735, 217 is 1

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1. What is the GCD of 961, 735, 217?

GCD of 961, 735, 217 is 1

2. Where do I get the detailed procedure to find GCD of 961, 735, 217?

You can find a detailed procedure to find GCD of 961, 735, 217 on our page.

3. How to find GCD of 961, 735, 217 on a calculator?

You can find the GCD of 961, 735, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.