GCD of 545, 292, 396, 175 Calculator

Given Input numbers are 545, 292, 396, 175

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 545, 292, 396, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 292, 396, 175 is 1.

Therefore, GCD of numbers 545, 292, 396, 175 is 1

Given Input Data is 545, 292, 396, 175

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 175 is 5 x 5 x 7

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(545, 292) = 159140

GCD(545, 292) = ( 545 x 292 ) / 159140

GCD(545, 292) = 159140 / 159140

GCD(545, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 545, 292, 396, 175 is 1

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1. What is the GCD of 545, 292, 396, 175?

GCD of 545, 292, 396, 175 is 1

2. Where do I get the detailed procedure to find GCD of 545, 292, 396, 175?

You can find a detailed procedure to find GCD of 545, 292, 396, 175 on our page.

3. How to find GCD of 545, 292, 396, 175 on a calculator?

You can find the GCD of 545, 292, 396, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.