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GCD of 262, 996, 904, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 262, 996, 904, 720 quickly. Get the easiest ways to solve the greatest common divisor of 262, 996, 904, 720 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 262, 996, 904, 720 with Factoring?

Given Input numbers are 262, 996, 904, 720

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

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (262, 996, 904, 720) = 2.

Find GCD of 262, 996, 904, 720 using Prime Factorization

Given numbers are 262, 996, 904, 720

The list of prime factors of all numbers are

Prime factors of 262 are 2 x 131

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 262, 996, 904, 720 is 2.

Steps to Calculate GCD of 262, 996, 904, 720 using LCM Formula

Given numbers are 262, 996, 904, 720

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

Apply this formula for all numbers.

Step1:

LCM(262, 996) = 130476

GCD(262, 996) = ( 262 x 996 ) / 130476

= 262 / 996

= 262


Step2:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2


Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2


So, Greatest Common Divisor of 262, 996, 904, 720 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 262, 996, 904, 720

Given numbers are 262, 996, 904, 720
The greatest common divisor of numbers 262, 996, 904, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 262, 996, 904, 720 is 2.

FAQs on GCD of 262, 996, 904, 720 Calculator

1. What is the GCD of 262, 996, 904, 720?

GCD of given numbers 262, 996, 904, 720 is 2


2. How to calculate the greatest common divisor of 262, 996, 904, 720?

We can find the highest common divisor of 262, 996, 904, 720 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 262, 996, 904, 720 i.e 2.


3. How can I use the GCD of 262, 996, 904, 720Calculator?

Out the numbers 262, 996, 904, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.