GCD of 364, 892, 701 Calculator

Given Input numbers are 364, 892, 701

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 364, 892, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 892, 701 is 1.

Therefore, GCD of numbers 364, 892, 701 is 1

Given Input Data is 364, 892, 701

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 701 is 701

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(364, 892) = 81172

GCD(364, 892) = ( 364 x 892 ) / 81172

GCD(364, 892) = 324688 / 81172

GCD(364, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 701

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

LCM(4, 701) = 2804

GCD(4, 701) = ( 4 x 701 ) / 2804

GCD(4, 701) = 2804 / 2804

GCD(4, 701) = 1

GCD of 364, 892, 701 is 1

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1. What is the GCD of 364, 892, 701?

GCD of 364, 892, 701 is 1

2. Where do I get the detailed procedure to find GCD of 364, 892, 701?

You can find a detailed procedure to find GCD of 364, 892, 701 on our page.

3. How to find GCD of 364, 892, 701 on a calculator?

You can find the GCD of 364, 892, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.