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GCD of 632, 966, 960, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 632, 966, 960, 998 quickly. Get the easiest ways to solve the greatest common divisor of 632, 966, 960, 998 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 632, 966, 960, 998 with Factoring?

Given Input numbers are 632, 966, 960, 998

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

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 998 :

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

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (632, 966, 960, 998) = 2.

Find GCD of 632, 966, 960, 998 using Prime Factorization

Given numbers are 632, 966, 960, 998

The list of prime factors of all numbers are

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 998 are 2 x 499

The highest common occurrence is 21

Therefore, GCD of 632, 966, 960, 998 is 2.

Steps to Calculate GCD of 632, 966, 960, 998 using LCM Formula

Given numbers are 632, 966, 960, 998

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

Apply this formula for all numbers.

Step1:

LCM(632, 966) = 305256

GCD(632, 966) = ( 632 x 966 ) / 305256

= 632 / 966

= 632


Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2


Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2


So, Greatest Common Divisor of 632, 966, 960, 998 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 632, 966, 960, 998

Given numbers are 632, 966, 960, 998
The greatest common divisor of numbers 632, 966, 960, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 966, 960, 998 is 2.

FAQs on GCD of 632, 966, 960, 998 Calculator

1. What is the GCD of 632, 966, 960, 998?

GCD of given numbers 632, 966, 960, 998 is 2


2. How to calculate the greatest common divisor of 632, 966, 960, 998?

We can find the highest common divisor of 632, 966, 960, 998 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 632, 966, 960, 998 i.e 2.


3. How can I use the GCD of 632, 966, 960, 998Calculator?

Out the numbers 632, 966, 960, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.