GCD of 278, 410, 345, 732 Calculator

Given Input numbers are 278, 410, 345, 732

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 278, 410, 345, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 410, 345, 732 is 1.

Therefore, GCD of numbers 278, 410, 345, 732 is 1

Given Input Data is 278, 410, 345, 732

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(278, 410) = 56990

GCD(278, 410) = ( 278 x 410 ) / 56990

GCD(278, 410) = 113980 / 56990

GCD(278, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 278, 410, 345, 732 is 1

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1. What is the GCD of 278, 410, 345, 732?

GCD of 278, 410, 345, 732 is 1

2. Where do I get the detailed procedure to find GCD of 278, 410, 345, 732?

You can find a detailed procedure to find GCD of 278, 410, 345, 732 on our page.

3. How to find GCD of 278, 410, 345, 732 on a calculator?

You can find the GCD of 278, 410, 345, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.