GCD of 352, 880, 61, 675 Calculator

Given Input numbers are 352, 880, 61, 675

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 352, 880, 61, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 880, 61, 675 is 1.

Therefore, GCD of numbers 352, 880, 61, 675 is 1

Given Input Data is 352, 880, 61, 675

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 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 61 is 61

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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, 880) = 1760

GCD(352, 880) = ( 352 x 880 ) / 1760

GCD(352, 880) = 309760 / 1760

GCD(352, 880) = 176

Step2:

Here we consider the GCD from the above i.e. 176 as first number and the next as 61

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

LCM(176, 61) = 10736

GCD(176, 61) = ( 176 x 61 ) / 10736

GCD(176, 61) = 10736 / 10736

GCD(176, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 352, 880, 61, 675 is 1

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1. What is the GCD of 352, 880, 61, 675?

GCD of 352, 880, 61, 675 is 1

2. Where do I get the detailed procedure to find GCD of 352, 880, 61, 675?

You can find a detailed procedure to find GCD of 352, 880, 61, 675 on our page.

3. How to find GCD of 352, 880, 61, 675 on a calculator?

You can find the GCD of 352, 880, 61, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.