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GCD of 270, 762, 882, 904 Calculator

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


Online GCD Calculator is useful to find the GCD of 270, 762, 882, 904 quickly. Get the easiest ways to solve the greatest common divisor of 270, 762, 882, 904 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 762, 882, 904 with Factoring?

Given Input numbers are 270, 762, 882, 904

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 904 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (270, 762, 882, 904) = 2.

Find GCD of 270, 762, 882, 904 using Prime Factorization

Given numbers are 270, 762, 882, 904

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 762 are 2 x 3 x 127

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

The highest common occurrence is 21

Therefore, GCD of 270, 762, 882, 904 is 2.

Steps to Calculate GCD of 270, 762, 882, 904 using LCM Formula

Given numbers are 270, 762, 882, 904

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

Apply this formula for all numbers.

Step1:

LCM(270, 762) = 34290

GCD(270, 762) = ( 270 x 762 ) / 34290

= 270 / 762

= 270


Step2:

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

= 6 / 882

= 6


Step3:

LCM(6, 904) = 2712

GCD(6, 904) = ( 6 x 904 ) / 2712

= 6 / 904

= 6


So, Greatest Common Divisor of 270, 762, 882, 904 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 762, 882, 904

Given numbers are 270, 762, 882, 904
The greatest common divisor of numbers 270, 762, 882, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 762, 882, 904 is 2.

FAQs on GCD of 270, 762, 882, 904 Calculator

1. What is the GCD of 270, 762, 882, 904?

GCD of given numbers 270, 762, 882, 904 is 2


2. How to calculate the greatest common divisor of 270, 762, 882, 904?

We can find the highest common divisor of 270, 762, 882, 904 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 270, 762, 882, 904 i.e 2.


3. How can I use the GCD of 270, 762, 882, 904Calculator?

Out the numbers 270, 762, 882, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.