GCD of 735, 299, 177, 276 Calculator

Given Input numbers are 735, 299, 177, 276

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

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 735, 299, 177, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 299, 177, 276 is 1.

Therefore, GCD of numbers 735, 299, 177, 276 is 1

Given Input Data is 735, 299, 177, 276

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

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 177 is 3 x 59

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(735, 299) = 219765

GCD(735, 299) = ( 735 x 299 ) / 219765

GCD(735, 299) = 219765 / 219765

GCD(735, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 735, 299, 177, 276 is 1

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1. What is the GCD of 735, 299, 177, 276?

GCD of 735, 299, 177, 276 is 1

2. Where do I get the detailed procedure to find GCD of 735, 299, 177, 276?

You can find a detailed procedure to find GCD of 735, 299, 177, 276 on our page.

3. How to find GCD of 735, 299, 177, 276 on a calculator?

You can find the GCD of 735, 299, 177, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.