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GCD of 345, 701, 338, 473 Calculator

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


Online GCD Calculator is useful to find the GCD of 345, 701, 338, 473 quickly. Get the easiest ways to solve the greatest common divisor of 345, 701, 338, 473 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 345, 701, 338, 473 with Factoring?

Given Input numbers are 345, 701, 338, 473

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473


GCD of numbers is the greatest common divisor

So, the GCD (345, 701, 338, 473) = 1.

Find GCD of 345, 701, 338, 473 using Prime Factorization

Given numbers are 345, 701, 338, 473

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 701 are 701

Prime factors of 338 are 2 x 13 x 13

Prime factors of 473 are 11 x 43

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

Steps to Calculate GCD of 345, 701, 338, 473 using LCM Formula

Given numbers are 345, 701, 338, 473

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

Apply this formula for all numbers.

Step1:

LCM(345, 701) = 241845

GCD(345, 701) = ( 345 x 701 ) / 241845

= 345 / 701

= 345


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

= 1 / 473

= 1


So, Greatest Common Divisor of 345, 701, 338, 473 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 345, 701, 338, 473

Given numbers are 345, 701, 338, 473
The greatest common divisor of numbers 345, 701, 338, 473 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 701, 338, 473 is 1.

FAQs on GCD of 345, 701, 338, 473 Calculator

1. What is the GCD of 345, 701, 338, 473?

GCD of given numbers 345, 701, 338, 473 is 1


2. How to calculate the greatest common divisor of 345, 701, 338, 473?

We can find the highest common divisor of 345, 701, 338, 473 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 345, 701, 338, 473 i.e 1.


3. How can I use the GCD of 345, 701, 338, 473Calculator?

Out the numbers 345, 701, 338, 473 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.