GCD of 278, 112, 68, 777 Calculator

Given Input numbers are 278, 112, 68, 777

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 278, 112, 68, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 112, 68, 777 is 1.

Therefore, GCD of numbers 278, 112, 68, 777 is 1

Given Input Data is 278, 112, 68, 777

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 777 is 3 x 7 x 37

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, 112) = 15568

GCD(278, 112) = ( 278 x 112 ) / 15568

GCD(278, 112) = 31136 / 15568

GCD(278, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 777

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

LCM(2, 777) = 1554

GCD(2, 777) = ( 2 x 777 ) / 1554

GCD(2, 777) = 1554 / 1554

GCD(2, 777) = 1

GCD of 278, 112, 68, 777 is 1

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• GCD of 825, 179, 10, 410
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1. What is the GCD of 278, 112, 68, 777?

GCD of 278, 112, 68, 777 is 1

2. Where do I get the detailed procedure to find GCD of 278, 112, 68, 777?

You can find a detailed procedure to find GCD of 278, 112, 68, 777 on our page.

3. How to find GCD of 278, 112, 68, 777 on a calculator?

You can find the GCD of 278, 112, 68, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.