GCD of 870, 122, 522, 750 Calculator

Given Input numbers are 870, 122, 522, 750

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

Greatest Common Divisior

We found the divisors of 870, 122, 522, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 122, 522, 750 is 2.

Therefore, GCD of numbers 870, 122, 522, 750 is 2

Given Input Data is 870, 122, 522, 750

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 122 is 2 x 61

Prime Factorization of 522 is 2 x 3 x 3 x 29

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

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(870, 122) = 53070

GCD(870, 122) = ( 870 x 122 ) / 53070

GCD(870, 122) = 106140 / 53070

GCD(870, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

GCD of 870, 122, 522, 750 is 2

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1. What is the GCD of 870, 122, 522, 750?

GCD of 870, 122, 522, 750 is 2

2. Where do I get the detailed procedure to find GCD of 870, 122, 522, 750?

You can find a detailed procedure to find GCD of 870, 122, 522, 750 on our page.

3. How to find GCD of 870, 122, 522, 750 on a calculator?

You can find the GCD of 870, 122, 522, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.