GCD of 896, 507, 69, 125 Calculator

Given Input numbers are 896, 507, 69, 125

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 896, 507, 69, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 507, 69, 125 is 1.

Therefore, GCD of numbers 896, 507, 69, 125 is 1

Given Input Data is 896, 507, 69, 125

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 69 is 3 x 23

Prime Factorization of 125 is 5 x 5 x 5

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(896, 507) = 454272

GCD(896, 507) = ( 896 x 507 ) / 454272

GCD(896, 507) = 454272 / 454272

GCD(896, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 896, 507, 69, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 980, 39, 664
• GCD of 685, 181, 24, 977
• GCD of 266, 224, 14, 261
• GCD of 638, 301, 35, 342
• GCD of 456, 930, 11, 268

1. What is the GCD of 896, 507, 69, 125?

GCD of 896, 507, 69, 125 is 1

2. Where do I get the detailed procedure to find GCD of 896, 507, 69, 125?

You can find a detailed procedure to find GCD of 896, 507, 69, 125 on our page.

3. How to find GCD of 896, 507, 69, 125 on a calculator?

You can find the GCD of 896, 507, 69, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.