GCD of 920, 965, 55, 206 Calculator

Given Input numbers are 920, 965, 55, 206

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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 920, 965, 55, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 965, 55, 206 is 1.

Therefore, GCD of numbers 920, 965, 55, 206 is 1

Given Input Data is 920, 965, 55, 206

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 55 is 5 x 11

Prime Factorization of 206 is 2 x 103

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 55

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

LCM(5, 55) = 55

GCD(5, 55) = ( 5 x 55 ) / 55

GCD(5, 55) = 275 / 55

GCD(5, 55) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 206

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

LCM(5, 206) = 1030

GCD(5, 206) = ( 5 x 206 ) / 1030

GCD(5, 206) = 1030 / 1030

GCD(5, 206) = 1

GCD of 920, 965, 55, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 385, 90, 642
• GCD of 326, 567, 72, 903
• GCD of 462, 889, 48, 299
• GCD of 142, 874, 71, 950
• GCD of 923, 246, 78, 923

1. What is the GCD of 920, 965, 55, 206?

GCD of 920, 965, 55, 206 is 1

2. Where do I get the detailed procedure to find GCD of 920, 965, 55, 206?

You can find a detailed procedure to find GCD of 920, 965, 55, 206 on our page.

3. How to find GCD of 920, 965, 55, 206 on a calculator?

You can find the GCD of 920, 965, 55, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.