LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 397, 414, 686, 371 Calculator

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


Online GCD Calculator is useful to find the GCD of 397, 414, 686, 371 quickly. Get the easiest ways to solve the greatest common divisor of 397, 414, 686, 371 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 397, 414, 686, 371 with Factoring?

Given Input numbers are 397, 414, 686, 371

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371


GCD of numbers is the greatest common divisor

So, the GCD (397, 414, 686, 371) = 1.

Find GCD of 397, 414, 686, 371 using Prime Factorization

Given numbers are 397, 414, 686, 371

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 371 are 7 x 53

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

Steps to Calculate GCD of 397, 414, 686, 371 using LCM Formula

Given numbers are 397, 414, 686, 371

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

Apply this formula for all numbers.

Step1:

LCM(397, 414) = 164358

GCD(397, 414) = ( 397 x 414 ) / 164358

= 397 / 414

= 397


Step2:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1


Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1


So, Greatest Common Divisor of 397, 414, 686, 371 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 397, 414, 686, 371

Given numbers are 397, 414, 686, 371
The greatest common divisor of numbers 397, 414, 686, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 414, 686, 371 is 1.

FAQs on GCD of 397, 414, 686, 371 Calculator

1. What is the GCD of 397, 414, 686, 371?

GCD of given numbers 397, 414, 686, 371 is 1


2. How to calculate the greatest common divisor of 397, 414, 686, 371?

We can find the highest common divisor of 397, 414, 686, 371 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 397, 414, 686, 371 i.e 1.


3. How can I use the GCD of 397, 414, 686, 371Calculator?

Out the numbers 397, 414, 686, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.