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GCD of 630, 440, 998, 768 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 630, 440, 998, 768 quickly. Get the easiest ways to solve the greatest common divisor of 630, 440, 998, 768 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 630, 440, 998, 768 with Factoring?

Given Input numbers are 630, 440, 998, 768

In the factoring method, we have to find the divisors of all numbers

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (630, 440, 998, 768) = 2.

Find GCD of 630, 440, 998, 768 using Prime Factorization

Given numbers are 630, 440, 998, 768

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 998 are 2 x 499

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 630, 440, 998, 768 is 2.

Steps to Calculate GCD of 630, 440, 998, 768 using LCM Formula

Given numbers are 630, 440, 998, 768

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(630, 440) = 27720

GCD(630, 440) = ( 630 x 440 ) / 27720

= 630 / 440

= 630


Step2:

LCM(10, 998) = 4990

GCD(10, 998) = ( 10 x 998 ) / 4990

= 10 / 998

= 10


Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2


So, Greatest Common Divisor of 630, 440, 998, 768 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 630, 440, 998, 768

Given numbers are 630, 440, 998, 768
The greatest common divisor of numbers 630, 440, 998, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 440, 998, 768 is 2.

FAQs on GCD of 630, 440, 998, 768 Calculator

1. What is the GCD of 630, 440, 998, 768?

GCD of given numbers 630, 440, 998, 768 is 2


2. How to calculate the greatest common divisor of 630, 440, 998, 768?

We can find the highest common divisor of 630, 440, 998, 768 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 630, 440, 998, 768 i.e 2.


3. How can I use the GCD of 630, 440, 998, 768Calculator?

Out the numbers 630, 440, 998, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.