GCD of 750, 830, 878, 346 Calculator

Given Input numbers are 750, 830, 878, 346

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 750, 830, 878, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 830, 878, 346 is 2.

Therefore, GCD of numbers 750, 830, 878, 346 is 2

Given Input Data is 750, 830, 878, 346

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 878 is 2 x 439

Prime Factorization of 346 is 2 x 173

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(750, 830) = 62250

GCD(750, 830) = ( 750 x 830 ) / 62250

GCD(750, 830) = 622500 / 62250

GCD(750, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 878

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

LCM(10, 878) = 4390

GCD(10, 878) = ( 10 x 878 ) / 4390

GCD(10, 878) = 8780 / 4390

GCD(10, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

GCD of 750, 830, 878, 346 is 2

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• GCD of 399, 404, 258, 931
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• GCD of 863, 977, 250, 573
• GCD of 487, 504, 573, 188

1. What is the GCD of 750, 830, 878, 346?

GCD of 750, 830, 878, 346 is 2

2. Where do I get the detailed procedure to find GCD of 750, 830, 878, 346?

You can find a detailed procedure to find GCD of 750, 830, 878, 346 on our page.

3. How to find GCD of 750, 830, 878, 346 on a calculator?

You can find the GCD of 750, 830, 878, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.