GCD of 534, 938, 974, 288 Calculator

Given Input numbers are 534, 938, 974, 288

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 534, 938, 974, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 938, 974, 288 is 2.

Therefore, GCD of numbers 534, 938, 974, 288 is 2

Given Input Data is 534, 938, 974, 288

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 938 is 2 x 7 x 67

Prime Factorization of 974 is 2 x 487

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 938) = 250446

GCD(534, 938) = ( 534 x 938 ) / 250446

GCD(534, 938) = 500892 / 250446

GCD(534, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 534, 938, 974, 288 is 2

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1. What is the GCD of 534, 938, 974, 288?

GCD of 534, 938, 974, 288 is 2

2. Where do I get the detailed procedure to find GCD of 534, 938, 974, 288?

You can find a detailed procedure to find GCD of 534, 938, 974, 288 on our page.

3. How to find GCD of 534, 938, 974, 288 on a calculator?

You can find the GCD of 534, 938, 974, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.