GCD of 948, 110, 205, 536 Calculator

Given Input numbers are 948, 110, 205, 536

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 948, 110, 205, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 110, 205, 536 is 1.

Therefore, GCD of numbers 948, 110, 205, 536 is 1

Given Input Data is 948, 110, 205, 536

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 205 is 5 x 41

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(948, 110) = 52140

GCD(948, 110) = ( 948 x 110 ) / 52140

GCD(948, 110) = 104280 / 52140

GCD(948, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 948, 110, 205, 536 is 1

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1. What is the GCD of 948, 110, 205, 536?

GCD of 948, 110, 205, 536 is 1

2. Where do I get the detailed procedure to find GCD of 948, 110, 205, 536?

You can find a detailed procedure to find GCD of 948, 110, 205, 536 on our page.

3. How to find GCD of 948, 110, 205, 536 on a calculator?

You can find the GCD of 948, 110, 205, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.