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GCD of 671, 269, 921, 214 Calculator

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


Online GCD Calculator is useful to find the GCD of 671, 269, 921, 214 quickly. Get the easiest ways to solve the greatest common divisor of 671, 269, 921, 214 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 671, 269, 921, 214 with Factoring?

Given Input numbers are 671, 269, 921, 214

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

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214


GCD of numbers is the greatest common divisor

So, the GCD (671, 269, 921, 214) = 1.

Find GCD of 671, 269, 921, 214 using Prime Factorization

Given numbers are 671, 269, 921, 214

The list of prime factors of all numbers are

Prime factors of 671 are 11 x 61

Prime factors of 269 are 269

Prime factors of 921 are 3 x 307

Prime factors of 214 are 2 x 107

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

Steps to Calculate GCD of 671, 269, 921, 214 using LCM Formula

Given numbers are 671, 269, 921, 214

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

Apply this formula for all numbers.

Step1:

LCM(671, 269) = 180499

GCD(671, 269) = ( 671 x 269 ) / 180499

= 671 / 269

= 671


Step2:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1


Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1


So, Greatest Common Divisor of 671, 269, 921, 214 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 671, 269, 921, 214

Given numbers are 671, 269, 921, 214
The greatest common divisor of numbers 671, 269, 921, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 671, 269, 921, 214 is 1.

FAQs on GCD of 671, 269, 921, 214 Calculator

1. What is the GCD of 671, 269, 921, 214?

GCD of given numbers 671, 269, 921, 214 is 1


2. How to calculate the greatest common divisor of 671, 269, 921, 214?

We can find the highest common divisor of 671, 269, 921, 214 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 671, 269, 921, 214 i.e 1.


3. How can I use the GCD of 671, 269, 921, 214Calculator?

Out the numbers 671, 269, 921, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.