GCD of 296, 534, 928, 560 Calculator

Given Input numbers are 296, 534, 928, 560

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 296, 534, 928, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 534, 928, 560 is 2.

Therefore, GCD of numbers 296, 534, 928, 560 is 2

Given Input Data is 296, 534, 928, 560

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(296, 534) = 79032

GCD(296, 534) = ( 296 x 534 ) / 79032

GCD(296, 534) = 158064 / 79032

GCD(296, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 296, 534, 928, 560 is 2

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1. What is the GCD of 296, 534, 928, 560?

GCD of 296, 534, 928, 560 is 2

2. Where do I get the detailed procedure to find GCD of 296, 534, 928, 560?

You can find a detailed procedure to find GCD of 296, 534, 928, 560 on our page.

3. How to find GCD of 296, 534, 928, 560 on a calculator?

You can find the GCD of 296, 534, 928, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.