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GCD of 240, 998, 654, 834 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 998, 654, 834 quickly. Get the easiest ways to solve the greatest common divisor of 240, 998, 654, 834 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 998, 654, 834 with Factoring?

Given Input numbers are 240, 998, 654, 834

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (240, 998, 654, 834) = 2.

Find GCD of 240, 998, 654, 834 using Prime Factorization

Given numbers are 240, 998, 654, 834

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 998 are 2 x 499

Prime factors of 654 are 2 x 3 x 109

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 21

Therefore, GCD of 240, 998, 654, 834 is 2.

Steps to Calculate GCD of 240, 998, 654, 834 using LCM Formula

Given numbers are 240, 998, 654, 834

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

Apply this formula for all numbers.

Step1:

LCM(240, 998) = 119760

GCD(240, 998) = ( 240 x 998 ) / 119760

= 240 / 998

= 240


Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2


Step3:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2


So, Greatest Common Divisor of 240, 998, 654, 834 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 998, 654, 834

Given numbers are 240, 998, 654, 834
The greatest common divisor of numbers 240, 998, 654, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 998, 654, 834 is 2.

FAQs on GCD of 240, 998, 654, 834 Calculator

1. What is the GCD of 240, 998, 654, 834?

GCD of given numbers 240, 998, 654, 834 is 2


2. How to calculate the greatest common divisor of 240, 998, 654, 834?

We can find the highest common divisor of 240, 998, 654, 834 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 240, 998, 654, 834 i.e 2.


3. How can I use the GCD of 240, 998, 654, 834Calculator?

Out the numbers 240, 998, 654, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.