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GCD of 678, 474, 697, 721 Calculator

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


Online GCD Calculator is useful to find the GCD of 678, 474, 697, 721 quickly. Get the easiest ways to solve the greatest common divisor of 678, 474, 697, 721 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 474, 697, 721 with Factoring?

Given Input numbers are 678, 474, 697, 721

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 697 :

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

1, 17, 41, 697

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721


GCD of numbers is the greatest common divisor

So, the GCD (678, 474, 697, 721) = 1.

Find GCD of 678, 474, 697, 721 using Prime Factorization

Given numbers are 678, 474, 697, 721

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 474 are 2 x 3 x 79

Prime factors of 697 are 17 x 41

Prime factors of 721 are 7 x 103

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

Steps to Calculate GCD of 678, 474, 697, 721 using LCM Formula

Given numbers are 678, 474, 697, 721

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

Apply this formula for all numbers.

Step1:

LCM(678, 474) = 53562

GCD(678, 474) = ( 678 x 474 ) / 53562

= 678 / 474

= 678


Step2:

LCM(6, 697) = 4182

GCD(6, 697) = ( 6 x 697 ) / 4182

= 6 / 697

= 6


Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1


So, Greatest Common Divisor of 678, 474, 697, 721 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 474, 697, 721

Given numbers are 678, 474, 697, 721
The greatest common divisor of numbers 678, 474, 697, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 474, 697, 721 is 1.

FAQs on GCD of 678, 474, 697, 721 Calculator

1. What is the GCD of 678, 474, 697, 721?

GCD of given numbers 678, 474, 697, 721 is 1


2. How to calculate the greatest common divisor of 678, 474, 697, 721?

We can find the highest common divisor of 678, 474, 697, 721 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 678, 474, 697, 721 i.e 1.


3. How can I use the GCD of 678, 474, 697, 721Calculator?

Out the numbers 678, 474, 697, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.