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GCD of 385, 427, 441 Calculator

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


Online GCD Calculator is useful to find the GCD of 385, 427, 441 quickly. Get the easiest ways to solve the greatest common divisor of 385, 427, 441 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 385, 427, 441 with Factoring?

Given Input numbers are 385, 427, 441

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 441 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (385, 427, 441) = 7.

Find GCD of 385, 427, 441 using Prime Factorization

Given numbers are 385, 427, 441

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 427 are 7 x 61

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

The highest common occurrence is 71

Therefore, GCD of 385, 427, 441 is 7.

Steps to Calculate GCD of 385, 427, 441 using LCM Formula

Given numbers are 385, 427, 441

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

Apply this formula for all numbers.

Step1:

LCM(385, 427) = 23485

GCD(385, 427) = ( 385 x 427 ) / 23485

= 385 / 427

= 385


Step2:

LCM(7, 441) = 441

GCD(7, 441) = ( 7 x 441 ) / 441

= 7 / 441

= 7


So, Greatest Common Divisor of 385, 427, 441 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 385, 427, 441

Given numbers are 385, 427, 441
The greatest common divisor of numbers 385, 427, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 427, 441 is 7.

FAQs on GCD of 385, 427, 441 Calculator

1. What is the GCD of 385, 427, 441?

GCD of given numbers 385, 427, 441 is 7


2. How to calculate the greatest common divisor of 385, 427, 441?

We can find the highest common divisor of 385, 427, 441 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 385, 427, 441 i.e 7.


3. How can I use the GCD of 385, 427, 441Calculator?

Out the numbers 385, 427, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.