GCD of 761, 363, 924, 734 Calculator

Given Input numbers are 761, 363, 924, 734

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 761, 363, 924, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 363, 924, 734 is 1.

Therefore, GCD of numbers 761, 363, 924, 734 is 1

Given Input Data is 761, 363, 924, 734

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

Prime Factorization of 761 is 761

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 734 is 2 x 367

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(761, 363) = 276243

GCD(761, 363) = ( 761 x 363 ) / 276243

GCD(761, 363) = 276243 / 276243

GCD(761, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 761, 363, 924, 734 is 1

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1. What is the GCD of 761, 363, 924, 734?

GCD of 761, 363, 924, 734 is 1

2. Where do I get the detailed procedure to find GCD of 761, 363, 924, 734?

You can find a detailed procedure to find GCD of 761, 363, 924, 734 on our page.

3. How to find GCD of 761, 363, 924, 734 on a calculator?

You can find the GCD of 761, 363, 924, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.