GCD of 765, 178, 74, 352 Calculator

Given Input numbers are 765, 178, 74, 352

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 765, 178, 74, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 178, 74, 352 is 1.

Therefore, GCD of numbers 765, 178, 74, 352 is 1

Given Input Data is 765, 178, 74, 352

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 178 is 2 x 89

Prime Factorization of 74 is 2 x 37

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(765, 178) = 136170

GCD(765, 178) = ( 765 x 178 ) / 136170

GCD(765, 178) = 136170 / 136170

GCD(765, 178) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 765, 178, 74, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 664, 14, 315
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• GCD of 838, 972, 88, 717

1. What is the GCD of 765, 178, 74, 352?

GCD of 765, 178, 74, 352 is 1

2. Where do I get the detailed procedure to find GCD of 765, 178, 74, 352?

You can find a detailed procedure to find GCD of 765, 178, 74, 352 on our page.

3. How to find GCD of 765, 178, 74, 352 on a calculator?

You can find the GCD of 765, 178, 74, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.