GCD of 374, 920, 62, 696 Calculator

Given Input numbers are 374, 920, 62, 696

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

Divisors of 374

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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

Greatest Common Divisior

We found the divisors of 374, 920, 62, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 920, 62, 696 is 2.

Therefore, GCD of numbers 374, 920, 62, 696 is 2

Given Input Data is 374, 920, 62, 696

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 62 is 2 x 31

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

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(374, 920) = 172040

GCD(374, 920) = ( 374 x 920 ) / 172040

GCD(374, 920) = 344080 / 172040

GCD(374, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 374, 920, 62, 696 is 2

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1. What is the GCD of 374, 920, 62, 696?

GCD of 374, 920, 62, 696 is 2

2. Where do I get the detailed procedure to find GCD of 374, 920, 62, 696?

You can find a detailed procedure to find GCD of 374, 920, 62, 696 on our page.

3. How to find GCD of 374, 920, 62, 696 on a calculator?

You can find the GCD of 374, 920, 62, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.