GCD of 874, 217, 919, 802 Calculator

Given Input numbers are 874, 217, 919, 802

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 874, 217, 919, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 217, 919, 802 is 1.

Therefore, GCD of numbers 874, 217, 919, 802 is 1

Given Input Data is 874, 217, 919, 802

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 217 is 7 x 31

Prime Factorization of 919 is 919

Prime Factorization of 802 is 2 x 401

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, 217) = 189658

GCD(874, 217) = ( 874 x 217 ) / 189658

GCD(874, 217) = 189658 / 189658

GCD(874, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 874, 217, 919, 802 is 1

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1. What is the GCD of 874, 217, 919, 802?

GCD of 874, 217, 919, 802 is 1

2. Where do I get the detailed procedure to find GCD of 874, 217, 919, 802?

You can find a detailed procedure to find GCD of 874, 217, 919, 802 on our page.

3. How to find GCD of 874, 217, 919, 802 on a calculator?

You can find the GCD of 874, 217, 919, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.