GCD of 277, 144, 74, 777 Calculator

Given Input numbers are 277, 144, 74, 777

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

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 277, 144, 74, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 144, 74, 777 is 1.

Therefore, GCD of numbers 277, 144, 74, 777 is 1

Given Input Data is 277, 144, 74, 777

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

Prime Factorization of 277 is 277

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 74 is 2 x 37

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(277, 144) = 39888

GCD(277, 144) = ( 277 x 144 ) / 39888

GCD(277, 144) = 39888 / 39888

GCD(277, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 277, 144, 74, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 615, 55, 970
• GCD of 625, 993, 65, 238
• GCD of 313, 122, 39, 597
• GCD of 903, 643, 36, 778
• GCD of 715, 330, 54, 512

1. What is the GCD of 277, 144, 74, 777?

GCD of 277, 144, 74, 777 is 1

2. Where do I get the detailed procedure to find GCD of 277, 144, 74, 777?

You can find a detailed procedure to find GCD of 277, 144, 74, 777 on our page.

3. How to find GCD of 277, 144, 74, 777 on a calculator?

You can find the GCD of 277, 144, 74, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.