GCD of 696, 674, 48, 374 Calculator

Given Input numbers are 696, 674, 48, 374

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 674

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

1, 2, 337, 674

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 696, 674, 48, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 674, 48, 374 is 2.

Therefore, GCD of numbers 696, 674, 48, 374 is 2

Given Input Data is 696, 674, 48, 374

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 674 is 2 x 337

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 374 is 2 x 11 x 17

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(696, 674) = 234552

GCD(696, 674) = ( 696 x 674 ) / 234552

GCD(696, 674) = 469104 / 234552

GCD(696, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 696, 674, 48, 374 is 2

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• GCD of 550, 277, 33, 381
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1. What is the GCD of 696, 674, 48, 374?

GCD of 696, 674, 48, 374 is 2

2. Where do I get the detailed procedure to find GCD of 696, 674, 48, 374?

You can find a detailed procedure to find GCD of 696, 674, 48, 374 on our page.

3. How to find GCD of 696, 674, 48, 374 on a calculator?

You can find the GCD of 696, 674, 48, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.