GCD of 54, 770, 137, 777 Calculator

Given Input numbers are 54, 770, 137, 777

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

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 54, 770, 137, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 770, 137, 777 is 1.

Therefore, GCD of numbers 54, 770, 137, 777 is 1

Given Input Data is 54, 770, 137, 777

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 137 is 137

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(54, 770) = 20790

GCD(54, 770) = ( 54 x 770 ) / 20790

GCD(54, 770) = 41580 / 20790

GCD(54, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 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 54, 770, 137, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 128, 970, 513
• GCD of 28, 312, 322, 773
• GCD of 96, 693, 342, 282
• GCD of 47, 205, 630, 259
• GCD of 10, 347, 261, 575

1. What is the GCD of 54, 770, 137, 777?

GCD of 54, 770, 137, 777 is 1

2. Where do I get the detailed procedure to find GCD of 54, 770, 137, 777?

You can find a detailed procedure to find GCD of 54, 770, 137, 777 on our page.

3. How to find GCD of 54, 770, 137, 777 on a calculator?

You can find the GCD of 54, 770, 137, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.