GCD of 988, 827, 648, 374 Calculator

Given Input numbers are 988, 827, 648, 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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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, 827, 648, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 827, 648, 374 is 1.

Therefore, GCD of numbers 988, 827, 648, 374 is 1

Given Input Data is 988, 827, 648, 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 827 is 827

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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, 827) = 817076

GCD(988, 827) = ( 988 x 827 ) / 817076

GCD(988, 827) = 817076 / 817076

GCD(988, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 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, 827, 648, 374 is 1

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1. What is the GCD of 988, 827, 648, 374?

GCD of 988, 827, 648, 374 is 1

2. Where do I get the detailed procedure to find GCD of 988, 827, 648, 374?

You can find a detailed procedure to find GCD of 988, 827, 648, 374 on our page.

3. How to find GCD of 988, 827, 648, 374 on a calculator?

You can find the GCD of 988, 827, 648, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.