GCD of 270, 947, 74, 769 Calculator

Given Input numbers are 270, 947, 74, 769

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 270, 947, 74, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 947, 74, 769 is 1.

Therefore, GCD of numbers 270, 947, 74, 769 is 1

Given Input Data is 270, 947, 74, 769

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 947 is 947

Prime Factorization of 74 is 2 x 37

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(270, 947) = 255690

GCD(270, 947) = ( 270 x 947 ) / 255690

GCD(270, 947) = 255690 / 255690

GCD(270, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 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 270, 947, 74, 769 is 1

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1. What is the GCD of 270, 947, 74, 769?

GCD of 270, 947, 74, 769 is 1

2. Where do I get the detailed procedure to find GCD of 270, 947, 74, 769?

You can find a detailed procedure to find GCD of 270, 947, 74, 769 on our page.

3. How to find GCD of 270, 947, 74, 769 on a calculator?

You can find the GCD of 270, 947, 74, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.