GCD of 988, 703, 49, 374 Calculator

Given Input numbers are 988, 703, 49, 374

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 988, 703, 49, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 703, 49, 374 is 1.

Therefore, GCD of numbers 988, 703, 49, 374 is 1

Given Input Data is 988, 703, 49, 374

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 703 is 19 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 374 is 2 x 11 x 17

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, 703) = 36556

GCD(988, 703) = ( 988 x 703 ) / 36556

GCD(988, 703) = 694564 / 36556

GCD(988, 703) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 49

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

LCM(19, 49) = 931

GCD(19, 49) = ( 19 x 49 ) / 931

GCD(19, 49) = 931 / 931

GCD(19, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 988, 703, 49, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 646, 72, 969
• GCD of 326, 549, 97, 418
• GCD of 374, 671, 53, 760
• GCD of 561, 750, 39, 769
• GCD of 195, 815, 38, 644

1. What is the GCD of 988, 703, 49, 374?

GCD of 988, 703, 49, 374 is 1

2. Where do I get the detailed procedure to find GCD of 988, 703, 49, 374?

You can find a detailed procedure to find GCD of 988, 703, 49, 374 on our page.

3. How to find GCD of 988, 703, 49, 374 on a calculator?

You can find the GCD of 988, 703, 49, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.