GCD of 352, 345, 849, 538 Calculator

Given Input numbers are 352, 345, 849, 538

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

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 352, 345, 849, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 345, 849, 538 is 1.

Therefore, GCD of numbers 352, 345, 849, 538 is 1

Given Input Data is 352, 345, 849, 538

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

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 849 is 3 x 283

Prime Factorization of 538 is 2 x 269

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(352, 345) = 121440

GCD(352, 345) = ( 352 x 345 ) / 121440

GCD(352, 345) = 121440 / 121440

GCD(352, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 352, 345, 849, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 628, 101, 780
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• GCD of 147, 610, 278, 678
• GCD of 719, 564, 742, 645
• GCD of 647, 844, 170, 340

1. What is the GCD of 352, 345, 849, 538?

GCD of 352, 345, 849, 538 is 1

2. Where do I get the detailed procedure to find GCD of 352, 345, 849, 538?

You can find a detailed procedure to find GCD of 352, 345, 849, 538 on our page.

3. How to find GCD of 352, 345, 849, 538 on a calculator?

You can find the GCD of 352, 345, 849, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.