GCD of 874, 311, 77, 643 Calculator

Given Input numbers are 874, 311, 77, 643

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 874, 311, 77, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 311, 77, 643 is 1.

Therefore, GCD of numbers 874, 311, 77, 643 is 1

Given Input Data is 874, 311, 77, 643

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 311 is 311

Prime Factorization of 77 is 7 x 11

Prime Factorization of 643 is 643

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, 311) = 271814

GCD(874, 311) = ( 874 x 311 ) / 271814

GCD(874, 311) = 271814 / 271814

GCD(874, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 874, 311, 77, 643 is 1

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1. What is the GCD of 874, 311, 77, 643?

GCD of 874, 311, 77, 643 is 1

2. Where do I get the detailed procedure to find GCD of 874, 311, 77, 643?

You can find a detailed procedure to find GCD of 874, 311, 77, 643 on our page.

3. How to find GCD of 874, 311, 77, 643 on a calculator?

You can find the GCD of 874, 311, 77, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.