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GCD of 231, 117, 697, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 231, 117, 697, 672 quickly. Get the easiest ways to solve the greatest common divisor of 231, 117, 697, 672 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 117, 697, 672 with Factoring?

Given Input numbers are 231, 117, 697, 672

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (231, 117, 697, 672) = 1.

Find GCD of 231, 117, 697, 672 using Prime Factorization

Given numbers are 231, 117, 697, 672

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 117 are 3 x 3 x 13

Prime factors of 697 are 17 x 41

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 231, 117, 697, 672 using LCM Formula

Given numbers are 231, 117, 697, 672

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

Apply this formula for all numbers.

Step1:

LCM(231, 117) = 9009

GCD(231, 117) = ( 231 x 117 ) / 9009

= 231 / 117

= 231


Step2:

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

= 3 / 697

= 3


Step3:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1


So, Greatest Common Divisor of 231, 117, 697, 672 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 117, 697, 672

Given numbers are 231, 117, 697, 672
The greatest common divisor of numbers 231, 117, 697, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 117, 697, 672 is 1.

FAQs on GCD of 231, 117, 697, 672 Calculator

1. What is the GCD of 231, 117, 697, 672?

GCD of given numbers 231, 117, 697, 672 is 1


2. How to calculate the greatest common divisor of 231, 117, 697, 672?

We can find the highest common divisor of 231, 117, 697, 672 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 231, 117, 697, 672 i.e 1.


3. How can I use the GCD of 231, 117, 697, 672Calculator?

Out the numbers 231, 117, 697, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.