GCD of 774, 153, 10, 988 Calculator

Given Input numbers are 774, 153, 10, 988

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 774, 153, 10, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 153, 10, 988 is 1.

Therefore, GCD of numbers 774, 153, 10, 988 is 1

Given Input Data is 774, 153, 10, 988

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 10 is 2 x 5

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(774, 153) = 13158

GCD(774, 153) = ( 774 x 153 ) / 13158

GCD(774, 153) = 118422 / 13158

GCD(774, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 10

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

LCM(9, 10) = 90

GCD(9, 10) = ( 9 x 10 ) / 90

GCD(9, 10) = 90 / 90

GCD(9, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 774, 153, 10, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 228, 67, 278
• GCD of 914, 566, 23, 445
• GCD of 333, 699, 10, 455
• GCD of 608, 420, 11, 619
• GCD of 676, 445, 87, 972

1. What is the GCD of 774, 153, 10, 988?

GCD of 774, 153, 10, 988 is 1

2. Where do I get the detailed procedure to find GCD of 774, 153, 10, 988?

You can find a detailed procedure to find GCD of 774, 153, 10, 988 on our page.

3. How to find GCD of 774, 153, 10, 988 on a calculator?

You can find the GCD of 774, 153, 10, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.