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GCD of 712, 114, 671 Calculator

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


Online GCD Calculator is useful to find the GCD of 712, 114, 671 quickly. Get the easiest ways to solve the greatest common divisor of 712, 114, 671 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 712, 114, 671 with Factoring?

Given Input numbers are 712, 114, 671

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 671 :

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

1, 11, 61, 671


GCD of numbers is the greatest common divisor

So, the GCD (712, 114, 671) = 1.

Find GCD of 712, 114, 671 using Prime Factorization

Given numbers are 712, 114, 671

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 114 are 2 x 3 x 19

Prime factors of 671 are 11 x 61

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

Steps to Calculate GCD of 712, 114, 671 using LCM Formula

Given numbers are 712, 114, 671

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

Apply this formula for all numbers.

Step1:

LCM(712, 114) = 40584

GCD(712, 114) = ( 712 x 114 ) / 40584

= 712 / 114

= 712


Step2:

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

= 2 / 671

= 2


So, Greatest Common Divisor of 712, 114, 671 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 712, 114, 671

Given numbers are 712, 114, 671
The greatest common divisor of numbers 712, 114, 671 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 114, 671 is 1.

FAQs on GCD of 712, 114, 671 Calculator

1. What is the GCD of 712, 114, 671?

GCD of given numbers 712, 114, 671 is 1


2. How to calculate the greatest common divisor of 712, 114, 671?

We can find the highest common divisor of 712, 114, 671 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 712, 114, 671 i.e 1.


3. How can I use the GCD of 712, 114, 671Calculator?

Out the numbers 712, 114, 671 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.