GCD of 870, 940, 714, 304 Calculator

Given Input numbers are 870, 940, 714, 304

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 870, 940, 714, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 940, 714, 304 is 2.

Therefore, GCD of numbers 870, 940, 714, 304 is 2

Given Input Data is 870, 940, 714, 304

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 940) = 81780

GCD(870, 940) = ( 870 x 940 ) / 81780

GCD(870, 940) = 817800 / 81780

GCD(870, 940) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 714

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

LCM(10, 714) = 3570

GCD(10, 714) = ( 10 x 714 ) / 3570

GCD(10, 714) = 7140 / 3570

GCD(10, 714) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 870, 940, 714, 304 is 2

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• GCD of 371, 615, 288, 195
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1. What is the GCD of 870, 940, 714, 304?

GCD of 870, 940, 714, 304 is 2

2. Where do I get the detailed procedure to find GCD of 870, 940, 714, 304?

You can find a detailed procedure to find GCD of 870, 940, 714, 304 on our page.

3. How to find GCD of 870, 940, 714, 304 on a calculator?

You can find the GCD of 870, 940, 714, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.