GCD of 706, 760, 54, 771 Calculator

Given Input numbers are 706, 760, 54, 771

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 706, 760, 54, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 760, 54, 771 is 1.

Therefore, GCD of numbers 706, 760, 54, 771 is 1

Given Input Data is 706, 760, 54, 771

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Prime Factorization of 771 is 3 x 257

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(706, 760) = 268280

GCD(706, 760) = ( 706 x 760 ) / 268280

GCD(706, 760) = 536560 / 268280

GCD(706, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

GCD of 706, 760, 54, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 283, 84, 842
• GCD of 146, 107, 40, 180
• GCD of 890, 482, 71, 603
• GCD of 271, 256, 13, 169
• GCD of 253, 611, 53, 681

1. What is the GCD of 706, 760, 54, 771?

GCD of 706, 760, 54, 771 is 1

2. Where do I get the detailed procedure to find GCD of 706, 760, 54, 771?

You can find a detailed procedure to find GCD of 706, 760, 54, 771 on our page.

3. How to find GCD of 706, 760, 54, 771 on a calculator?

You can find the GCD of 706, 760, 54, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.