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GCD of 182, 170, 982, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 182, 170, 982, 420 quickly. Get the easiest ways to solve the greatest common divisor of 182, 170, 982, 420 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 182, 170, 982, 420 with Factoring?

Given Input numbers are 182, 170, 982, 420

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 170 :

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

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

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (182, 170, 982, 420) = 2.

Find GCD of 182, 170, 982, 420 using Prime Factorization

Given numbers are 182, 170, 982, 420

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 170 are 2 x 5 x 17

Prime factors of 982 are 2 x 491

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 182, 170, 982, 420 is 2.

Steps to Calculate GCD of 182, 170, 982, 420 using LCM Formula

Given numbers are 182, 170, 982, 420

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

Apply this formula for all numbers.

Step1:

LCM(182, 170) = 15470

GCD(182, 170) = ( 182 x 170 ) / 15470

= 182 / 170

= 182


Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2


Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2


So, Greatest Common Divisor of 182, 170, 982, 420 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 182, 170, 982, 420

Given numbers are 182, 170, 982, 420
The greatest common divisor of numbers 182, 170, 982, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 170, 982, 420 is 2.

FAQs on GCD of 182, 170, 982, 420 Calculator

1. What is the GCD of 182, 170, 982, 420?

GCD of given numbers 182, 170, 982, 420 is 2


2. How to calculate the greatest common divisor of 182, 170, 982, 420?

We can find the highest common divisor of 182, 170, 982, 420 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 182, 170, 982, 420 i.e 2.


3. How can I use the GCD of 182, 170, 982, 420Calculator?

Out the numbers 182, 170, 982, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.