GCD of 350, 498, 376, 872 Calculator

Given Input numbers are 350, 498, 376, 872

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

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 498

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

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 350, 498, 376, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 498, 376, 872 is 2.

Therefore, GCD of numbers 350, 498, 376, 872 is 2

Given Input Data is 350, 498, 376, 872

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

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(350, 498) = 87150

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

GCD(350, 498) = 174300 / 87150

GCD(350, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 350, 498, 376, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 896, 841, 904
• GCD of 336, 598, 763, 670
• GCD of 388, 750, 254, 173
• GCD of 616, 727, 145, 462
• GCD of 546, 851, 492, 834

1. What is the GCD of 350, 498, 376, 872?

GCD of 350, 498, 376, 872 is 2

2. Where do I get the detailed procedure to find GCD of 350, 498, 376, 872?

You can find a detailed procedure to find GCD of 350, 498, 376, 872 on our page.

3. How to find GCD of 350, 498, 376, 872 on a calculator?

You can find the GCD of 350, 498, 376, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.