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GCD of 685, 723, 678, 354 Calculator

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


Online GCD Calculator is useful to find the GCD of 685, 723, 678, 354 quickly. Get the easiest ways to solve the greatest common divisor of 685, 723, 678, 354 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 685, 723, 678, 354 with Factoring?

Given Input numbers are 685, 723, 678, 354

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 678 :

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354


GCD of numbers is the greatest common divisor

So, the GCD (685, 723, 678, 354) = 1.

Find GCD of 685, 723, 678, 354 using Prime Factorization

Given numbers are 685, 723, 678, 354

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 723 are 3 x 241

Prime factors of 678 are 2 x 3 x 113

Prime factors of 354 are 2 x 3 x 59

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

Steps to Calculate GCD of 685, 723, 678, 354 using LCM Formula

Given numbers are 685, 723, 678, 354

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

Apply this formula for all numbers.

Step1:

LCM(685, 723) = 495255

GCD(685, 723) = ( 685 x 723 ) / 495255

= 685 / 723

= 685


Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1


So, Greatest Common Divisor of 685, 723, 678, 354 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 685, 723, 678, 354

Given numbers are 685, 723, 678, 354
The greatest common divisor of numbers 685, 723, 678, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 723, 678, 354 is 1.

FAQs on GCD of 685, 723, 678, 354 Calculator

1. What is the GCD of 685, 723, 678, 354?

GCD of given numbers 685, 723, 678, 354 is 1


2. How to calculate the greatest common divisor of 685, 723, 678, 354?

We can find the highest common divisor of 685, 723, 678, 354 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 685, 723, 678, 354 i.e 1.


3. How can I use the GCD of 685, 723, 678, 354Calculator?

Out the numbers 685, 723, 678, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.