GCD of 378, 103, 408, 280 Calculator

Given Input numbers are 378, 103, 408, 280

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 378, 103, 408, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 103, 408, 280 is 1.

Therefore, GCD of numbers 378, 103, 408, 280 is 1

Given Input Data is 378, 103, 408, 280

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 103 is 103

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 280 is 2 x 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(378, 103) = 38934

GCD(378, 103) = ( 378 x 103 ) / 38934

GCD(378, 103) = 38934 / 38934

GCD(378, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 378, 103, 408, 280 is 1

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• GCD of 635, 202, 988, 840
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1. What is the GCD of 378, 103, 408, 280?

GCD of 378, 103, 408, 280 is 1

2. Where do I get the detailed procedure to find GCD of 378, 103, 408, 280?

You can find a detailed procedure to find GCD of 378, 103, 408, 280 on our page.

3. How to find GCD of 378, 103, 408, 280 on a calculator?

You can find the GCD of 378, 103, 408, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.