LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 864, 998, 128, 148 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 998, 128, 148 quickly. Get the easiest ways to solve the greatest common divisor of 864, 998, 128, 148 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 998, 128, 148 with Factoring?

Given Input numbers are 864, 998, 128, 148

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148


GCD of numbers is the greatest common divisor

So, the GCD (864, 998, 128, 148) = 2.

Find GCD of 864, 998, 128, 148 using Prime Factorization

Given numbers are 864, 998, 128, 148

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 998 are 2 x 499

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 21

Therefore, GCD of 864, 998, 128, 148 is 2.

Steps to Calculate GCD of 864, 998, 128, 148 using LCM Formula

Given numbers are 864, 998, 128, 148

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

Apply this formula for all numbers.

Step1:

LCM(864, 998) = 431136

GCD(864, 998) = ( 864 x 998 ) / 431136

= 864 / 998

= 864


Step2:

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

= 2 / 128

= 2


Step3:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2


So, Greatest Common Divisor of 864, 998, 128, 148 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 998, 128, 148

Given numbers are 864, 998, 128, 148
The greatest common divisor of numbers 864, 998, 128, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 998, 128, 148 is 2.

FAQs on GCD of 864, 998, 128, 148 Calculator

1. What is the GCD of 864, 998, 128, 148?

GCD of given numbers 864, 998, 128, 148 is 2


2. How to calculate the greatest common divisor of 864, 998, 128, 148?

We can find the highest common divisor of 864, 998, 128, 148 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 864, 998, 128, 148 i.e 2.


3. How can I use the GCD of 864, 998, 128, 148Calculator?

Out the numbers 864, 998, 128, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.