GCD of 734, 262, 780, 909 Calculator

Given Input numbers are 734, 262, 780, 909

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 734, 262, 780, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 262, 780, 909 is 1.

Therefore, GCD of numbers 734, 262, 780, 909 is 1

Given Input Data is 734, 262, 780, 909

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 262 is 2 x 131

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 909 is 3 x 3 x 101

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, 262) = 96154

GCD(734, 262) = ( 734 x 262 ) / 96154

GCD(734, 262) = 192308 / 96154

GCD(734, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

GCD of 734, 262, 780, 909 is 1

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1. What is the GCD of 734, 262, 780, 909?

GCD of 734, 262, 780, 909 is 1

2. Where do I get the detailed procedure to find GCD of 734, 262, 780, 909?

You can find a detailed procedure to find GCD of 734, 262, 780, 909 on our page.

3. How to find GCD of 734, 262, 780, 909 on a calculator?

You can find the GCD of 734, 262, 780, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.