GCD of 527, 640, 348, 354 Calculator

Given Input numbers are 527, 640, 348, 354

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 527, 640, 348, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 640, 348, 354 is 1.

Therefore, GCD of numbers 527, 640, 348, 354 is 1

Given Input Data is 527, 640, 348, 354

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 354 is 2 x 3 x 59

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(527, 640) = 337280

GCD(527, 640) = ( 527 x 640 ) / 337280

GCD(527, 640) = 337280 / 337280

GCD(527, 640) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 527, 640, 348, 354 is 1

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1. What is the GCD of 527, 640, 348, 354?

GCD of 527, 640, 348, 354 is 1

2. Where do I get the detailed procedure to find GCD of 527, 640, 348, 354?

You can find a detailed procedure to find GCD of 527, 640, 348, 354 on our page.

3. How to find GCD of 527, 640, 348, 354 on a calculator?

You can find the GCD of 527, 640, 348, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.