GCD of 920, 965, 56, 345 Calculator

Given Input numbers are 920, 965, 56, 345

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 965

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

1, 5, 193, 965

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 920, 965, 56, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 965, 56, 345 is 1.

Therefore, GCD of numbers 920, 965, 56, 345 is 1

Given Input Data is 920, 965, 56, 345

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 965 is 5 x 193

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 345 is 3 x 5 x 23

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(920, 965) = 177560

GCD(920, 965) = ( 920 x 965 ) / 177560

GCD(920, 965) = 887800 / 177560

GCD(920, 965) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 920, 965, 56, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 734, 24, 543
• GCD of 703, 120, 77, 730
• GCD of 670, 670, 45, 840
• GCD of 797, 245, 32, 636
• GCD of 336, 939, 24, 577

1. What is the GCD of 920, 965, 56, 345?

GCD of 920, 965, 56, 345 is 1

2. Where do I get the detailed procedure to find GCD of 920, 965, 56, 345?

You can find a detailed procedure to find GCD of 920, 965, 56, 345 on our page.

3. How to find GCD of 920, 965, 56, 345 on a calculator?

You can find the GCD of 920, 965, 56, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.