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GCD of 962, 360, 180, 206 Calculator

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


Online GCD Calculator is useful to find the GCD of 962, 360, 180, 206 quickly. Get the easiest ways to solve the greatest common divisor of 962, 360, 180, 206 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 962, 360, 180, 206 with Factoring?

Given Input numbers are 962, 360, 180, 206

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

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206


GCD of numbers is the greatest common divisor

So, the GCD (962, 360, 180, 206) = 2.

Find GCD of 962, 360, 180, 206 using Prime Factorization

Given numbers are 962, 360, 180, 206

The list of prime factors of all numbers are

Prime factors of 962 are 2 x 13 x 37

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 206 are 2 x 103

The highest common occurrence is 21

Therefore, GCD of 962, 360, 180, 206 is 2.

Steps to Calculate GCD of 962, 360, 180, 206 using LCM Formula

Given numbers are 962, 360, 180, 206

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

Apply this formula for all numbers.

Step1:

LCM(962, 360) = 173160

GCD(962, 360) = ( 962 x 360 ) / 173160

= 962 / 360

= 962


Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2


Step3:

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

= 2 / 206

= 2


So, Greatest Common Divisor of 962, 360, 180, 206 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 962, 360, 180, 206

Given numbers are 962, 360, 180, 206
The greatest common divisor of numbers 962, 360, 180, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 360, 180, 206 is 2.

FAQs on GCD of 962, 360, 180, 206 Calculator

1. What is the GCD of 962, 360, 180, 206?

GCD of given numbers 962, 360, 180, 206 is 2


2. How to calculate the greatest common divisor of 962, 360, 180, 206?

We can find the highest common divisor of 962, 360, 180, 206 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 962, 360, 180, 206 i.e 2.


3. How can I use the GCD of 962, 360, 180, 206Calculator?

Out the numbers 962, 360, 180, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.