GCD of 988, 714, 737, 779 Calculator

Given Input numbers are 988, 714, 737, 779

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

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 988, 714, 737, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 714, 737, 779 is 1.

Therefore, GCD of numbers 988, 714, 737, 779 is 1

Given Input Data is 988, 714, 737, 779

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

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 737 is 11 x 67

Prime Factorization of 779 is 19 x 41

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(988, 714) = 352716

GCD(988, 714) = ( 988 x 714 ) / 352716

GCD(988, 714) = 705432 / 352716

GCD(988, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 988, 714, 737, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 302, 430, 190
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• GCD of 989, 549, 851, 434
• GCD of 204, 443, 803, 809

1. What is the GCD of 988, 714, 737, 779?

GCD of 988, 714, 737, 779 is 1

2. Where do I get the detailed procedure to find GCD of 988, 714, 737, 779?

You can find a detailed procedure to find GCD of 988, 714, 737, 779 on our page.

3. How to find GCD of 988, 714, 737, 779 on a calculator?

You can find the GCD of 988, 714, 737, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.