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GCD of 348, 345, 169, 616 Calculator

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


Online GCD Calculator is useful to find the GCD of 348, 345, 169, 616 quickly. Get the easiest ways to solve the greatest common divisor of 348, 345, 169, 616 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 348, 345, 169, 616 with Factoring?

Given Input numbers are 348, 345, 169, 616

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 345 :

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

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616


GCD of numbers is the greatest common divisor

So, the GCD (348, 345, 169, 616) = 1.

Find GCD of 348, 345, 169, 616 using Prime Factorization

Given numbers are 348, 345, 169, 616

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 345 are 3 x 5 x 23

Prime factors of 169 are 13 x 13

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Steps to Calculate GCD of 348, 345, 169, 616 using LCM Formula

Given numbers are 348, 345, 169, 616

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

Apply this formula for all numbers.

Step1:

LCM(348, 345) = 40020

GCD(348, 345) = ( 348 x 345 ) / 40020

= 348 / 345

= 348


Step2:

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

= 3 / 169

= 3


Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1


So, Greatest Common Divisor of 348, 345, 169, 616 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 348, 345, 169, 616

Given numbers are 348, 345, 169, 616
The greatest common divisor of numbers 348, 345, 169, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 345, 169, 616 is 1.

FAQs on GCD of 348, 345, 169, 616 Calculator

1. What is the GCD of 348, 345, 169, 616?

GCD of given numbers 348, 345, 169, 616 is 1


2. How to calculate the greatest common divisor of 348, 345, 169, 616?

We can find the highest common divisor of 348, 345, 169, 616 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 348, 345, 169, 616 i.e 1.


3. How can I use the GCD of 348, 345, 169, 616Calculator?

Out the numbers 348, 345, 169, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.