GCD of 674, 496, 56, 915 Calculator

Given Input numbers are 674, 496, 56, 915

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 674, 496, 56, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 496, 56, 915 is 1.

Therefore, GCD of numbers 674, 496, 56, 915 is 1

Given Input Data is 674, 496, 56, 915

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 915 is 3 x 5 x 61

The above numbers do not have any common prime factor. So GCD is 1

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(674, 496) = 167152

GCD(674, 496) = ( 674 x 496 ) / 167152

GCD(674, 496) = 334304 / 167152

GCD(674, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 915

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

LCM(2, 915) = 1830

GCD(2, 915) = ( 2 x 915 ) / 1830

GCD(2, 915) = 1830 / 1830

GCD(2, 915) = 1

GCD of 674, 496, 56, 915 is 1

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1. What is the GCD of 674, 496, 56, 915?

GCD of 674, 496, 56, 915 is 1

2. Where do I get the detailed procedure to find GCD of 674, 496, 56, 915?

You can find a detailed procedure to find GCD of 674, 496, 56, 915 on our page.

3. How to find GCD of 674, 496, 56, 915 on a calculator?

You can find the GCD of 674, 496, 56, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.