GCD of 917, 952, 923, 735 Calculator

Given Input numbers are 917, 952, 923, 735

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

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

Greatest Common Divisior

We found the divisors of 917, 952, 923, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 952, 923, 735 is 1.

Therefore, GCD of numbers 917, 952, 923, 735 is 1

Given Input Data is 917, 952, 923, 735

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 923 is 13 x 71

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

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(917, 952) = 124712

GCD(917, 952) = ( 917 x 952 ) / 124712

GCD(917, 952) = 872984 / 124712

GCD(917, 952) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 923

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

LCM(7, 923) = 6461

GCD(7, 923) = ( 7 x 923 ) / 6461

GCD(7, 923) = 6461 / 6461

GCD(7, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 917, 952, 923, 735 is 1

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1. What is the GCD of 917, 952, 923, 735?

GCD of 917, 952, 923, 735 is 1

2. Where do I get the detailed procedure to find GCD of 917, 952, 923, 735?

You can find a detailed procedure to find GCD of 917, 952, 923, 735 on our page.

3. How to find GCD of 917, 952, 923, 735 on a calculator?

You can find the GCD of 917, 952, 923, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.