GCD of 34, 272, 142, 870 Calculator

Given Input numbers are 34, 272, 142, 870

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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

Greatest Common Divisior

We found the divisors of 34, 272, 142, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 272, 142, 870 is 2.

Therefore, GCD of numbers 34, 272, 142, 870 is 2

Given Input Data is 34, 272, 142, 870

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 142 is 2 x 71

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

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(34, 272) = 272

GCD(34, 272) = ( 34 x 272 ) / 272

GCD(34, 272) = 9248 / 272

GCD(34, 272) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 142

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

LCM(34, 142) = 2414

GCD(34, 142) = ( 34 x 142 ) / 2414

GCD(34, 142) = 4828 / 2414

GCD(34, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

GCD of 34, 272, 142, 870 is 2

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• GCD of 99, 593, 477, 240
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1. What is the GCD of 34, 272, 142, 870?

GCD of 34, 272, 142, 870 is 2

2. Where do I get the detailed procedure to find GCD of 34, 272, 142, 870?

You can find a detailed procedure to find GCD of 34, 272, 142, 870 on our page.

3. How to find GCD of 34, 272, 142, 870 on a calculator?

You can find the GCD of 34, 272, 142, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.