GCD of 91, 864, 632, 343 Calculator

Given Input numbers are 91, 864, 632, 343

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 91, 864, 632, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 864, 632, 343 is 1.

Therefore, GCD of numbers 91, 864, 632, 343 is 1

Given Input Data is 91, 864, 632, 343

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 343 is 7 x 7 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(91, 864) = 78624

GCD(91, 864) = ( 91 x 864 ) / 78624

GCD(91, 864) = 78624 / 78624

GCD(91, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 91, 864, 632, 343 is 1

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1. What is the GCD of 91, 864, 632, 343?

GCD of 91, 864, 632, 343 is 1

2. Where do I get the detailed procedure to find GCD of 91, 864, 632, 343?

You can find a detailed procedure to find GCD of 91, 864, 632, 343 on our page.

3. How to find GCD of 91, 864, 632, 343 on a calculator?

You can find the GCD of 91, 864, 632, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.