GCD of 693, 952, 400, 342 Calculator

Given Input numbers are 693, 952, 400, 342

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 693, 952, 400, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 952, 400, 342 is 1.

Therefore, GCD of numbers 693, 952, 400, 342 is 1

Given Input Data is 693, 952, 400, 342

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(693, 952) = 94248

GCD(693, 952) = ( 693 x 952 ) / 94248

GCD(693, 952) = 659736 / 94248

GCD(693, 952) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 400

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

LCM(7, 400) = 2800

GCD(7, 400) = ( 7 x 400 ) / 2800

GCD(7, 400) = 2800 / 2800

GCD(7, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 693, 952, 400, 342 is 1

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1. What is the GCD of 693, 952, 400, 342?

GCD of 693, 952, 400, 342 is 1

2. Where do I get the detailed procedure to find GCD of 693, 952, 400, 342?

You can find a detailed procedure to find GCD of 693, 952, 400, 342 on our page.

3. How to find GCD of 693, 952, 400, 342 on a calculator?

You can find the GCD of 693, 952, 400, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.