GCD of 289, 919, 60, 769 Calculator

Given Input numbers are 289, 919, 60, 769

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 769

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

1, 769

Greatest Common Divisior

We found the divisors of 289, 919, 60, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 919, 60, 769 is 1.

Therefore, GCD of numbers 289, 919, 60, 769 is 1

Given Input Data is 289, 919, 60, 769

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 919 is 919

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 769 is 769

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, 919) = 265591

GCD(289, 919) = ( 289 x 919 ) / 265591

GCD(289, 919) = 265591 / 265591

GCD(289, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

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

GCD of 289, 919, 60, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 871, 36, 402
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• GCD of 152, 987, 61, 980
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1. What is the GCD of 289, 919, 60, 769?

GCD of 289, 919, 60, 769 is 1

2. Where do I get the detailed procedure to find GCD of 289, 919, 60, 769?

You can find a detailed procedure to find GCD of 289, 919, 60, 769 on our page.

3. How to find GCD of 289, 919, 60, 769 on a calculator?

You can find the GCD of 289, 919, 60, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.