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GCD of 162, 290, 850, 680 Calculator

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


Online GCD Calculator is useful to find the GCD of 162, 290, 850, 680 quickly. Get the easiest ways to solve the greatest common divisor of 162, 290, 850, 680 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 162, 290, 850, 680 with Factoring?

Given Input numbers are 162, 290, 850, 680

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680


GCD of numbers is the greatest common divisor

So, the GCD (162, 290, 850, 680) = 2.

Find GCD of 162, 290, 850, 680 using Prime Factorization

Given numbers are 162, 290, 850, 680

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 290 are 2 x 5 x 29

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 21

Therefore, GCD of 162, 290, 850, 680 is 2.

Steps to Calculate GCD of 162, 290, 850, 680 using LCM Formula

Given numbers are 162, 290, 850, 680

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

Apply this formula for all numbers.

Step1:

LCM(162, 290) = 23490

GCD(162, 290) = ( 162 x 290 ) / 23490

= 162 / 290

= 162


Step2:

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

= 2 / 850

= 2


Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2


So, Greatest Common Divisor of 162, 290, 850, 680 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 162, 290, 850, 680

Given numbers are 162, 290, 850, 680
The greatest common divisor of numbers 162, 290, 850, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 290, 850, 680 is 2.

FAQs on GCD of 162, 290, 850, 680 Calculator

1. What is the GCD of 162, 290, 850, 680?

GCD of given numbers 162, 290, 850, 680 is 2


2. How to calculate the greatest common divisor of 162, 290, 850, 680?

We can find the highest common divisor of 162, 290, 850, 680 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 162, 290, 850, 680 i.e 2.


3. How can I use the GCD of 162, 290, 850, 680Calculator?

Out the numbers 162, 290, 850, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.