GCD of 280, 965, 54 Calculator

Given Input numbers are 280, 965, 54

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 280, 965, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 965, 54 is 1.

Therefore, GCD of numbers 280, 965, 54 is 1

Given Input Data is 280, 965, 54

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 965 is 5 x 193

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(280, 965) = 54040

GCD(280, 965) = ( 280 x 965 ) / 54040

GCD(280, 965) = 270200 / 54040

GCD(280, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 54

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

LCM(5, 54) = 270

GCD(5, 54) = ( 5 x 54 ) / 270

GCD(5, 54) = 270 / 270

GCD(5, 54) = 1

GCD of 280, 965, 54 is 1

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1. What is the GCD of 280, 965, 54?

GCD of 280, 965, 54 is 1

2. Where do I get the detailed procedure to find GCD of 280, 965, 54?

You can find a detailed procedure to find GCD of 280, 965, 54 on our page.

3. How to find GCD of 280, 965, 54 on a calculator?

You can find the GCD of 280, 965, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.