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GCD of 353, 680, 474 Calculator

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


Online GCD Calculator is useful to find the GCD of 353, 680, 474 quickly. Get the easiest ways to solve the greatest common divisor of 353, 680, 474 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 353, 680, 474 with Factoring?

Given Input numbers are 353, 680, 474

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 474 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (353, 680, 474) = 1.

Find GCD of 353, 680, 474 using Prime Factorization

Given numbers are 353, 680, 474

The list of prime factors of all numbers are

Prime factors of 353 are 353

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 474 are 2 x 3 x 79

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

Steps to Calculate GCD of 353, 680, 474 using LCM Formula

Given numbers are 353, 680, 474

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

Apply this formula for all numbers.

Step1:

LCM(353, 680) = 240040

GCD(353, 680) = ( 353 x 680 ) / 240040

= 353 / 680

= 353


Step2:

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

= 1 / 474

= 1


So, Greatest Common Divisor of 353, 680, 474 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 353, 680, 474

Given numbers are 353, 680, 474
The greatest common divisor of numbers 353, 680, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 680, 474 is 1.

FAQs on GCD of 353, 680, 474 Calculator

1. What is the GCD of 353, 680, 474?

GCD of given numbers 353, 680, 474 is 1


2. How to calculate the greatest common divisor of 353, 680, 474?

We can find the highest common divisor of 353, 680, 474 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 353, 680, 474 i.e 1.


3. How can I use the GCD of 353, 680, 474Calculator?

Out the numbers 353, 680, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.