GCD of 289, 922, 769, 350 Calculator

Given Input numbers are 289, 922, 769, 350

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 289, 922, 769, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 922, 769, 350 is 1.

Therefore, GCD of numbers 289, 922, 769, 350 is 1

Given Input Data is 289, 922, 769, 350

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 922 is 2 x 461

Prime Factorization of 769 is 769

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(289, 922) = 266458

GCD(289, 922) = ( 289 x 922 ) / 266458

GCD(289, 922) = 266458 / 266458

GCD(289, 922) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 289, 922, 769, 350 is 1

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• GCD of 612, 845, 282, 882
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1. What is the GCD of 289, 922, 769, 350?

GCD of 289, 922, 769, 350 is 1

2. Where do I get the detailed procedure to find GCD of 289, 922, 769, 350?

You can find a detailed procedure to find GCD of 289, 922, 769, 350 on our page.

3. How to find GCD of 289, 922, 769, 350 on a calculator?

You can find the GCD of 289, 922, 769, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.