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GCD of 732, 218, 13, 348 Calculator

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


Online GCD Calculator is useful to find the GCD of 732, 218, 13, 348 quickly. Get the easiest ways to solve the greatest common divisor of 732, 218, 13, 348 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 218, 13, 348 with Factoring?

Given Input numbers are 732, 218, 13, 348

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

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


GCD of numbers is the greatest common divisor

So, the GCD (732, 218, 13, 348) = 1.

Find GCD of 732, 218, 13, 348 using Prime Factorization

Given numbers are 732, 218, 13, 348

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 218 are 2 x 109

Prime factors of 13 are 13

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

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

Steps to Calculate GCD of 732, 218, 13, 348 using LCM Formula

Given numbers are 732, 218, 13, 348

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

Apply this formula for all numbers.

Step1:

LCM(732, 218) = 79788

GCD(732, 218) = ( 732 x 218 ) / 79788

= 732 / 218

= 732


Step2:

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

= 2 / 13

= 2


Step3:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1


So, Greatest Common Divisor of 732, 218, 13, 348 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 218, 13, 348

Given numbers are 732, 218, 13, 348
The greatest common divisor of numbers 732, 218, 13, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 218, 13, 348 is 1.

FAQs on GCD of 732, 218, 13, 348 Calculator

1. What is the GCD of 732, 218, 13, 348?

GCD of given numbers 732, 218, 13, 348 is 1


2. How to calculate the greatest common divisor of 732, 218, 13, 348?

We can find the highest common divisor of 732, 218, 13, 348 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 732, 218, 13, 348 i.e 1.


3. How can I use the GCD of 732, 218, 13, 348Calculator?

Out the numbers 732, 218, 13, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.