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GCD of 270, 940, 794, 882 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, 940, 794, 882 quickly. Get the easiest ways to solve the greatest common divisor of 270, 940, 794, 882 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 940, 794, 882 with Factoring?

Given Input numbers are 270, 940, 794, 882

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

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


GCD of numbers is the greatest common divisor

So, the GCD (270, 940, 794, 882) = 2.

Find GCD of 270, 940, 794, 882 using Prime Factorization

Given numbers are 270, 940, 794, 882

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 940 are 2 x 2 x 5 x 47

Prime factors of 794 are 2 x 397

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

The highest common occurrence is 21

Therefore, GCD of 270, 940, 794, 882 is 2.

Steps to Calculate GCD of 270, 940, 794, 882 using LCM Formula

Given numbers are 270, 940, 794, 882

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

Apply this formula for all numbers.

Step1:

LCM(270, 940) = 25380

GCD(270, 940) = ( 270 x 940 ) / 25380

= 270 / 940

= 270


Step2:

LCM(10, 794) = 3970

GCD(10, 794) = ( 10 x 794 ) / 3970

= 10 / 794

= 10


Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2


So, Greatest Common Divisor of 270, 940, 794, 882 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 940, 794, 882

Given numbers are 270, 940, 794, 882
The greatest common divisor of numbers 270, 940, 794, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 940, 794, 882 is 2.

FAQs on GCD of 270, 940, 794, 882 Calculator

1. What is the GCD of 270, 940, 794, 882?

GCD of given numbers 270, 940, 794, 882 is 2


2. How to calculate the greatest common divisor of 270, 940, 794, 882?

We can find the highest common divisor of 270, 940, 794, 882 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, 940, 794, 882 i.e 2.


3. How can I use the GCD of 270, 940, 794, 882Calculator?

Out the numbers 270, 940, 794, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.