GCD of 100, 722, 65, 265 Calculator

Given Input numbers are 100, 722, 65, 265

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 100, 722, 65, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 722, 65, 265 is 1.

Therefore, GCD of numbers 100, 722, 65, 265 is 1

Given Input Data is 100, 722, 65, 265

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 265 is 5 x 53

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(100, 722) = 36100

GCD(100, 722) = ( 100 x 722 ) / 36100

GCD(100, 722) = 72200 / 36100

GCD(100, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 100, 722, 65, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 903, 98, 485
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1. What is the GCD of 100, 722, 65, 265?

GCD of 100, 722, 65, 265 is 1

2. Where do I get the detailed procedure to find GCD of 100, 722, 65, 265?

You can find a detailed procedure to find GCD of 100, 722, 65, 265 on our page.

3. How to find GCD of 100, 722, 65, 265 on a calculator?

You can find the GCD of 100, 722, 65, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.