GCD of 540, 340, 656, 965 Calculator

Given Input numbers are 540, 340, 656, 965

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 965

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

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 540, 340, 656, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 340, 656, 965 is 1.

Therefore, GCD of numbers 540, 340, 656, 965 is 1

Given Input Data is 540, 340, 656, 965

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 965 is 5 x 193

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(540, 340) = 9180

GCD(540, 340) = ( 540 x 340 ) / 9180

GCD(540, 340) = 183600 / 9180

GCD(540, 340) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 656

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

LCM(20, 656) = 3280

GCD(20, 656) = ( 20 x 656 ) / 3280

GCD(20, 656) = 13120 / 3280

GCD(20, 656) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 965

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

LCM(4, 965) = 3860

GCD(4, 965) = ( 4 x 965 ) / 3860

GCD(4, 965) = 3860 / 3860

GCD(4, 965) = 1

GCD of 540, 340, 656, 965 is 1

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1. What is the GCD of 540, 340, 656, 965?

GCD of 540, 340, 656, 965 is 1

2. Where do I get the detailed procedure to find GCD of 540, 340, 656, 965?

You can find a detailed procedure to find GCD of 540, 340, 656, 965 on our page.

3. How to find GCD of 540, 340, 656, 965 on a calculator?

You can find the GCD of 540, 340, 656, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.