GCD of 892, 676, 144, 255 Calculator

Given Input numbers are 892, 676, 144, 255

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 892, 676, 144, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 676, 144, 255 is 1.

Therefore, GCD of numbers 892, 676, 144, 255 is 1

Given Input Data is 892, 676, 144, 255

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 255 is 3 x 5 x 17

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, 676) = 150748

GCD(892, 676) = ( 892 x 676 ) / 150748

GCD(892, 676) = 602992 / 150748

GCD(892, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 144

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

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

GCD(4, 144) = 576 / 144

GCD(4, 144) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 255

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

LCM(4, 255) = 1020

GCD(4, 255) = ( 4 x 255 ) / 1020

GCD(4, 255) = 1020 / 1020

GCD(4, 255) = 1

GCD of 892, 676, 144, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 987, 695, 123
• GCD of 225, 447, 971, 128
• GCD of 491, 311, 470, 140
• GCD of 738, 683, 582, 910
• GCD of 611, 152, 588, 575

1. What is the GCD of 892, 676, 144, 255?

GCD of 892, 676, 144, 255 is 1

2. Where do I get the detailed procedure to find GCD of 892, 676, 144, 255?

You can find a detailed procedure to find GCD of 892, 676, 144, 255 on our page.

3. How to find GCD of 892, 676, 144, 255 on a calculator?

You can find the GCD of 892, 676, 144, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.