GCD of 752, 496, 896, 169 Calculator

Given Input numbers are 752, 496, 896, 169

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

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 752, 496, 896, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 496, 896, 169 is 1.

Therefore, GCD of numbers 752, 496, 896, 169 is 1

Given Input Data is 752, 496, 896, 169

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

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

Prime Factorization of 169 is 13 x 13

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(752, 496) = 23312

GCD(752, 496) = ( 752 x 496 ) / 23312

GCD(752, 496) = 372992 / 23312

GCD(752, 496) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 896

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

LCM(16, 896) = 896

GCD(16, 896) = ( 16 x 896 ) / 896

GCD(16, 896) = 14336 / 896

GCD(16, 896) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 169

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

LCM(16, 169) = 2704

GCD(16, 169) = ( 16 x 169 ) / 2704

GCD(16, 169) = 2704 / 2704

GCD(16, 169) = 1

GCD of 752, 496, 896, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 763, 457, 287
• GCD of 457, 847, 763, 731
• GCD of 369, 615, 955, 106
• GCD of 952, 909, 159, 565
• GCD of 828, 885, 506, 982

1. What is the GCD of 752, 496, 896, 169?

GCD of 752, 496, 896, 169 is 1

2. Where do I get the detailed procedure to find GCD of 752, 496, 896, 169?

You can find a detailed procedure to find GCD of 752, 496, 896, 169 on our page.

3. How to find GCD of 752, 496, 896, 169 on a calculator?

You can find the GCD of 752, 496, 896, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.