GCD of 928, 109, 947, 140 Calculator

Given Input numbers are 928, 109, 947, 140

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 928, 109, 947, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 109, 947, 140 is 1.

Therefore, GCD of numbers 928, 109, 947, 140 is 1

Given Input Data is 928, 109, 947, 140

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 109 is 109

Prime Factorization of 947 is 947

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(928, 109) = 101152

GCD(928, 109) = ( 928 x 109 ) / 101152

GCD(928, 109) = 101152 / 101152

GCD(928, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 928, 109, 947, 140 is 1

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1. What is the GCD of 928, 109, 947, 140?

GCD of 928, 109, 947, 140 is 1

2. Where do I get the detailed procedure to find GCD of 928, 109, 947, 140?

You can find a detailed procedure to find GCD of 928, 109, 947, 140 on our page.

3. How to find GCD of 928, 109, 947, 140 on a calculator?

You can find the GCD of 928, 109, 947, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.