GCD of 160, 725, 98, 812 Calculator

Given Input numbers are 160, 725, 98, 812

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 160, 725, 98, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 725, 98, 812 is 1.

Therefore, GCD of numbers 160, 725, 98, 812 is 1

Given Input Data is 160, 725, 98, 812

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(160, 725) = 23200

GCD(160, 725) = ( 160 x 725 ) / 23200

GCD(160, 725) = 116000 / 23200

GCD(160, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 98

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

LCM(5, 98) = 490

GCD(5, 98) = ( 5 x 98 ) / 490

GCD(5, 98) = 490 / 490

GCD(5, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 160, 725, 98, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 322, 61, 850
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• GCD of 420, 663, 87, 249
• GCD of 194, 273, 77, 143

1. What is the GCD of 160, 725, 98, 812?

GCD of 160, 725, 98, 812 is 1

2. Where do I get the detailed procedure to find GCD of 160, 725, 98, 812?

You can find a detailed procedure to find GCD of 160, 725, 98, 812 on our page.

3. How to find GCD of 160, 725, 98, 812 on a calculator?

You can find the GCD of 160, 725, 98, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.