GCD of 343, 357, 642, 896 Calculator

Given Input numbers are 343, 357, 642, 896

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 343, 357, 642, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 357, 642, 896 is 1.

Therefore, GCD of numbers 343, 357, 642, 896 is 1

Given Input Data is 343, 357, 642, 896

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(343, 357) = 17493

GCD(343, 357) = ( 343 x 357 ) / 17493

GCD(343, 357) = 122451 / 17493

GCD(343, 357) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 642

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

LCM(7, 642) = 4494

GCD(7, 642) = ( 7 x 642 ) / 4494

GCD(7, 642) = 4494 / 4494

GCD(7, 642) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 343, 357, 642, 896 is 1

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1. What is the GCD of 343, 357, 642, 896?

GCD of 343, 357, 642, 896 is 1

2. Where do I get the detailed procedure to find GCD of 343, 357, 642, 896?

You can find a detailed procedure to find GCD of 343, 357, 642, 896 on our page.

3. How to find GCD of 343, 357, 642, 896 on a calculator?

You can find the GCD of 343, 357, 642, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.