GCD of 734, 221, 807, 153 Calculator

Given Input numbers are 734, 221, 807, 153

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 734, 221, 807, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 221, 807, 153 is 1.

Therefore, GCD of numbers 734, 221, 807, 153 is 1

Given Input Data is 734, 221, 807, 153

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 221 is 13 x 17

Prime Factorization of 807 is 3 x 269

Prime Factorization of 153 is 3 x 3 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(734, 221) = 162214

GCD(734, 221) = ( 734 x 221 ) / 162214

GCD(734, 221) = 162214 / 162214

GCD(734, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 734, 221, 807, 153 is 1

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1. What is the GCD of 734, 221, 807, 153?

GCD of 734, 221, 807, 153 is 1

2. Where do I get the detailed procedure to find GCD of 734, 221, 807, 153?

You can find a detailed procedure to find GCD of 734, 221, 807, 153 on our page.

3. How to find GCD of 734, 221, 807, 153 on a calculator?

You can find the GCD of 734, 221, 807, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.