GCD of 892, 759, 23, 148 Calculator

Given Input numbers are 892, 759, 23, 148

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 892, 759, 23, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 759, 23, 148 is 1.

Therefore, GCD of numbers 892, 759, 23, 148 is 1

Given Input Data is 892, 759, 23, 148

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 759 is 3 x 11 x 23

Prime Factorization of 23 is 23

Prime Factorization of 148 is 2 x 2 x 37

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, 759) = 677028

GCD(892, 759) = ( 892 x 759 ) / 677028

GCD(892, 759) = 677028 / 677028

GCD(892, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 892, 759, 23, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 210, 64, 150
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1. What is the GCD of 892, 759, 23, 148?

GCD of 892, 759, 23, 148 is 1

2. Where do I get the detailed procedure to find GCD of 892, 759, 23, 148?

You can find a detailed procedure to find GCD of 892, 759, 23, 148 on our page.

3. How to find GCD of 892, 759, 23, 148 on a calculator?

You can find the GCD of 892, 759, 23, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.