GCD of 892, 723, 752, 949 Calculator

Given Input numbers are 892, 723, 752, 949

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 892, 723, 752, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 723, 752, 949 is 1.

Therefore, GCD of numbers 892, 723, 752, 949 is 1

Given Input Data is 892, 723, 752, 949

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 723 is 3 x 241

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 949 is 13 x 73

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(892, 723) = 644916

GCD(892, 723) = ( 892 x 723 ) / 644916

GCD(892, 723) = 644916 / 644916

GCD(892, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 892, 723, 752, 949 is 1

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1. What is the GCD of 892, 723, 752, 949?

GCD of 892, 723, 752, 949 is 1

2. Where do I get the detailed procedure to find GCD of 892, 723, 752, 949?

You can find a detailed procedure to find GCD of 892, 723, 752, 949 on our page.

3. How to find GCD of 892, 723, 752, 949 on a calculator?

You can find the GCD of 892, 723, 752, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.