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GCD of 441, 614, 331, 971 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, 614, 331, 971 quickly. Get the easiest ways to solve the greatest common divisor of 441, 614, 331, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 441, 614, 331, 971 with Factoring?

Given Input numbers are 441, 614, 331, 971

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971


GCD of numbers is the greatest common divisor

So, the GCD (441, 614, 331, 971) = 1.

Find GCD of 441, 614, 331, 971 using Prime Factorization

Given numbers are 441, 614, 331, 971

The list of prime factors of all numbers are

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

Prime factors of 614 are 2 x 307

Prime factors of 331 are 331

Prime factors of 971 are 971

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 441, 614, 331, 971 using LCM Formula

Given numbers are 441, 614, 331, 971

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

Apply this formula for all numbers.

Step1:

LCM(441, 614) = 270774

GCD(441, 614) = ( 441 x 614 ) / 270774

= 441 / 614

= 441


Step2:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


So, Greatest Common Divisor of 441, 614, 331, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 441, 614, 331, 971

Given numbers are 441, 614, 331, 971
The greatest common divisor of numbers 441, 614, 331, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 614, 331, 971 is 1.

FAQs on GCD of 441, 614, 331, 971 Calculator

1. What is the GCD of 441, 614, 331, 971?

GCD of given numbers 441, 614, 331, 971 is 1


2. How to calculate the greatest common divisor of 441, 614, 331, 971?

We can find the highest common divisor of 441, 614, 331, 971 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, 614, 331, 971 i.e 1.


3. How can I use the GCD of 441, 614, 331, 971Calculator?

Out the numbers 441, 614, 331, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.