GCD of 940, 104, 78, 553 Calculator

Given Input numbers are 940, 104, 78, 553

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 940, 104, 78, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 104, 78, 553 is 1.

Therefore, GCD of numbers 940, 104, 78, 553 is 1

Given Input Data is 940, 104, 78, 553

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 553 is 7 x 79

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(940, 104) = 24440

GCD(940, 104) = ( 940 x 104 ) / 24440

GCD(940, 104) = 97760 / 24440

GCD(940, 104) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 940, 104, 78, 553 is 1

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• GCD of 889, 699, 30, 472
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• GCD of 800, 160, 41, 773

1. What is the GCD of 940, 104, 78, 553?

GCD of 940, 104, 78, 553 is 1

2. Where do I get the detailed procedure to find GCD of 940, 104, 78, 553?

You can find a detailed procedure to find GCD of 940, 104, 78, 553 on our page.

3. How to find GCD of 940, 104, 78, 553 on a calculator?

You can find the GCD of 940, 104, 78, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.