GCD of 874, 512, 80, 347 Calculator

Given Input numbers are 874, 512, 80, 347

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 874, 512, 80, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 512, 80, 347 is 1.

Therefore, GCD of numbers 874, 512, 80, 347 is 1

Given Input Data is 874, 512, 80, 347

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 347 is 347

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(874, 512) = 223744

GCD(874, 512) = ( 874 x 512 ) / 223744

GCD(874, 512) = 447488 / 223744

GCD(874, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

GCD of 874, 512, 80, 347 is 1

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• GCD of 776, 471, 65, 669
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1. What is the GCD of 874, 512, 80, 347?

GCD of 874, 512, 80, 347 is 1

2. Where do I get the detailed procedure to find GCD of 874, 512, 80, 347?

You can find a detailed procedure to find GCD of 874, 512, 80, 347 on our page.

3. How to find GCD of 874, 512, 80, 347 on a calculator?

You can find the GCD of 874, 512, 80, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.