GCD of 352, 415, 450, 749 Calculator

Given Input numbers are 352, 415, 450, 749

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 352, 415, 450, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 415, 450, 749 is 1.

Therefore, GCD of numbers 352, 415, 450, 749 is 1

Given Input Data is 352, 415, 450, 749

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 415 is 5 x 83

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 749 is 7 x 107

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, 415) = 146080

GCD(352, 415) = ( 352 x 415 ) / 146080

GCD(352, 415) = 146080 / 146080

GCD(352, 415) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 352, 415, 450, 749 is 1

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1. What is the GCD of 352, 415, 450, 749?

GCD of 352, 415, 450, 749 is 1

2. Where do I get the detailed procedure to find GCD of 352, 415, 450, 749?

You can find a detailed procedure to find GCD of 352, 415, 450, 749 on our page.

3. How to find GCD of 352, 415, 450, 749 on a calculator?

You can find the GCD of 352, 415, 450, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.