GCD of 112, 530, 262, 674 Calculator

Given Input numbers are 112, 530, 262, 674

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 112, 530, 262, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 530, 262, 674 is 2.

Therefore, GCD of numbers 112, 530, 262, 674 is 2

Given Input Data is 112, 530, 262, 674

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 262 is 2 x 131

Prime Factorization of 674 is 2 x 337

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(112, 530) = 29680

GCD(112, 530) = ( 112 x 530 ) / 29680

GCD(112, 530) = 59360 / 29680

GCD(112, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 112, 530, 262, 674 is 2

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1. What is the GCD of 112, 530, 262, 674?

GCD of 112, 530, 262, 674 is 2

2. Where do I get the detailed procedure to find GCD of 112, 530, 262, 674?

You can find a detailed procedure to find GCD of 112, 530, 262, 674 on our page.

3. How to find GCD of 112, 530, 262, 674 on a calculator?

You can find the GCD of 112, 530, 262, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.