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GCD of 360, 352, 306, 102 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 352, 306, 102 quickly. Get the easiest ways to solve the greatest common divisor of 360, 352, 306, 102 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 352, 306, 102 with Factoring?

Given Input numbers are 360, 352, 306, 102

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102


GCD of numbers is the greatest common divisor

So, the GCD (360, 352, 306, 102) = 2.

Find GCD of 360, 352, 306, 102 using Prime Factorization

Given numbers are 360, 352, 306, 102

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 360, 352, 306, 102 is 2.

Steps to Calculate GCD of 360, 352, 306, 102 using LCM Formula

Given numbers are 360, 352, 306, 102

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

Apply this formula for all numbers.

Step1:

LCM(360, 352) = 15840

GCD(360, 352) = ( 360 x 352 ) / 15840

= 360 / 352

= 360


Step2:

LCM(8, 306) = 1224

GCD(8, 306) = ( 8 x 306 ) / 1224

= 8 / 306

= 8


Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2


So, Greatest Common Divisor of 360, 352, 306, 102 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 352, 306, 102

Given numbers are 360, 352, 306, 102
The greatest common divisor of numbers 360, 352, 306, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 352, 306, 102 is 2.

FAQs on GCD of 360, 352, 306, 102 Calculator

1. What is the GCD of 360, 352, 306, 102?

GCD of given numbers 360, 352, 306, 102 is 2


2. How to calculate the greatest common divisor of 360, 352, 306, 102?

We can find the highest common divisor of 360, 352, 306, 102 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 360, 352, 306, 102 i.e 2.


3. How can I use the GCD of 360, 352, 306, 102Calculator?

Out the numbers 360, 352, 306, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.