GCD of 134, 970, 508, 856 Calculator

Given Input numbers are 134, 970, 508, 856

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 134, 970, 508, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 970, 508, 856 is 2.

Therefore, GCD of numbers 134, 970, 508, 856 is 2

Given Input Data is 134, 970, 508, 856

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(134, 970) = 64990

GCD(134, 970) = ( 134 x 970 ) / 64990

GCD(134, 970) = 129980 / 64990

GCD(134, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 134, 970, 508, 856 is 2

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1. What is the GCD of 134, 970, 508, 856?

GCD of 134, 970, 508, 856 is 2

2. Where do I get the detailed procedure to find GCD of 134, 970, 508, 856?

You can find a detailed procedure to find GCD of 134, 970, 508, 856 on our page.

3. How to find GCD of 134, 970, 508, 856 on a calculator?

You can find the GCD of 134, 970, 508, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.