GCD of 754, 474, 134 Calculator

Given Input numbers are 754, 474, 134

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 134

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

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 754, 474, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 474, 134 is 2.

Therefore, GCD of numbers 754, 474, 134 is 2

Given Input Data is 754, 474, 134

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 134 is 2 x 67

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(754, 474) = 178698

GCD(754, 474) = ( 754 x 474 ) / 178698

GCD(754, 474) = 357396 / 178698

GCD(754, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 754, 474, 134 is 2

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1. What is the GCD of 754, 474, 134?

GCD of 754, 474, 134 is 2

2. Where do I get the detailed procedure to find GCD of 754, 474, 134?

You can find a detailed procedure to find GCD of 754, 474, 134 on our page.

3. How to find GCD of 754, 474, 134 on a calculator?

You can find the GCD of 754, 474, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.