GCD of 534, 274, 952, 398 Calculator

Given Input numbers are 534, 274, 952, 398

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 534, 274, 952, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 274, 952, 398 is 2.

Therefore, GCD of numbers 534, 274, 952, 398 is 2

Given Input Data is 534, 274, 952, 398

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 274 is 2 x 137

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 398 is 2 x 199

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(534, 274) = 73158

GCD(534, 274) = ( 534 x 274 ) / 73158

GCD(534, 274) = 146316 / 73158

GCD(534, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 534, 274, 952, 398 is 2

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1. What is the GCD of 534, 274, 952, 398?

GCD of 534, 274, 952, 398 is 2

2. Where do I get the detailed procedure to find GCD of 534, 274, 952, 398?

You can find a detailed procedure to find GCD of 534, 274, 952, 398 on our page.

3. How to find GCD of 534, 274, 952, 398 on a calculator?

You can find the GCD of 534, 274, 952, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.