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GCD of 441, 378, 882, 726 Calculator

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


Online GCD Calculator is useful to find the GCD of 441, 378, 882, 726 quickly. Get the easiest ways to solve the greatest common divisor of 441, 378, 882, 726 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 441, 378, 882, 726 with Factoring?

Given Input numbers are 441, 378, 882, 726

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726


GCD of numbers is the greatest common divisor

So, the GCD (441, 378, 882, 726) = 3.

Find GCD of 441, 378, 882, 726 using Prime Factorization

Given numbers are 441, 378, 882, 726

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 31

Therefore, GCD of 441, 378, 882, 726 is 3.

Steps to Calculate GCD of 441, 378, 882, 726 using LCM Formula

Given numbers are 441, 378, 882, 726

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

Apply this formula for all numbers.

Step1:

LCM(441, 378) = 2646

GCD(441, 378) = ( 441 x 378 ) / 2646

= 441 / 378

= 441


Step2:

LCM(63, 882) = 882

GCD(63, 882) = ( 63 x 882 ) / 882

= 63 / 882

= 63


Step3:

LCM(63, 726) = 15246

GCD(63, 726) = ( 63 x 726 ) / 15246

= 63 / 726

= 63


So, Greatest Common Divisor of 441, 378, 882, 726 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 441, 378, 882, 726

Given numbers are 441, 378, 882, 726
The greatest common divisor of numbers 441, 378, 882, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 378, 882, 726 is 3.

FAQs on GCD of 441, 378, 882, 726 Calculator

1. What is the GCD of 441, 378, 882, 726?

GCD of given numbers 441, 378, 882, 726 is 3


2. How to calculate the greatest common divisor of 441, 378, 882, 726?

We can find the highest common divisor of 441, 378, 882, 726 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 441, 378, 882, 726 i.e 3.


3. How can I use the GCD of 441, 378, 882, 726Calculator?

Out the numbers 441, 378, 882, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.