GCD of 696, 379, 35, 400 Calculator

Given Input numbers are 696, 379, 35, 400

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 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 696, 379, 35, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 379, 35, 400 is 1.

Therefore, GCD of numbers 696, 379, 35, 400 is 1

Given Input Data is 696, 379, 35, 400

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 379 is 379

Prime Factorization of 35 is 5 x 7

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(696, 379) = 263784

GCD(696, 379) = ( 696 x 379 ) / 263784

GCD(696, 379) = 263784 / 263784

GCD(696, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 696, 379, 35, 400 is 1

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• GCD of 161, 749, 78, 238
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1. What is the GCD of 696, 379, 35, 400?

GCD of 696, 379, 35, 400 is 1

2. Where do I get the detailed procedure to find GCD of 696, 379, 35, 400?

You can find a detailed procedure to find GCD of 696, 379, 35, 400 on our page.

3. How to find GCD of 696, 379, 35, 400 on a calculator?

You can find the GCD of 696, 379, 35, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.