GCD of 498, 350, 874, 944 Calculator

Given Input numbers are 498, 350, 874, 944

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 498, 350, 874, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 350, 874, 944 is 2.

Therefore, GCD of numbers 498, 350, 874, 944 is 2

Given Input Data is 498, 350, 874, 944

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(498, 350) = 87150

GCD(498, 350) = ( 498 x 350 ) / 87150

GCD(498, 350) = 174300 / 87150

GCD(498, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 498, 350, 874, 944 is 2

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1. What is the GCD of 498, 350, 874, 944?

GCD of 498, 350, 874, 944 is 2

2. Where do I get the detailed procedure to find GCD of 498, 350, 874, 944?

You can find a detailed procedure to find GCD of 498, 350, 874, 944 on our page.

3. How to find GCD of 498, 350, 874, 944 on a calculator?

You can find the GCD of 498, 350, 874, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.