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GCD of 732, 192, 170, 682 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, 192, 170, 682 quickly. Get the easiest ways to solve the greatest common divisor of 732, 192, 170, 682 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 192, 170, 682 with Factoring?

Given Input numbers are 732, 192, 170, 682

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (732, 192, 170, 682) = 2.

Find GCD of 732, 192, 170, 682 using Prime Factorization

Given numbers are 732, 192, 170, 682

The list of prime factors of all numbers are

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 170 are 2 x 5 x 17

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 21

Therefore, GCD of 732, 192, 170, 682 is 2.

Steps to Calculate GCD of 732, 192, 170, 682 using LCM Formula

Given numbers are 732, 192, 170, 682

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

Apply this formula for all numbers.

Step1:

LCM(732, 192) = 11712

GCD(732, 192) = ( 732 x 192 ) / 11712

= 732 / 192

= 732


Step2:

LCM(12, 170) = 1020

GCD(12, 170) = ( 12 x 170 ) / 1020

= 12 / 170

= 12


Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2


So, Greatest Common Divisor of 732, 192, 170, 682 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 192, 170, 682

Given numbers are 732, 192, 170, 682
The greatest common divisor of numbers 732, 192, 170, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 192, 170, 682 is 2.

FAQs on GCD of 732, 192, 170, 682 Calculator

1. What is the GCD of 732, 192, 170, 682?

GCD of given numbers 732, 192, 170, 682 is 2


2. How to calculate the greatest common divisor of 732, 192, 170, 682?

We can find the highest common divisor of 732, 192, 170, 682 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, 192, 170, 682 i.e 2.


3. How can I use the GCD of 732, 192, 170, 682Calculator?

Out the numbers 732, 192, 170, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.