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GCD of 161, 812, 623, 490 Calculator

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


Online GCD Calculator is useful to find the GCD of 161, 812, 623, 490 quickly. Get the easiest ways to solve the greatest common divisor of 161, 812, 623, 490 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 161, 812, 623, 490 with Factoring?

Given Input numbers are 161, 812, 623, 490

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

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 623 :

The positive integer divisors of 623 that completely divides 623 are.

1, 7, 89, 623

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490


GCD of numbers is the greatest common divisor

So, the GCD (161, 812, 623, 490) = 7.

Find GCD of 161, 812, 623, 490 using Prime Factorization

Given numbers are 161, 812, 623, 490

The list of prime factors of all numbers are

Prime factors of 161 are 7 x 23

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 623 are 7 x 89

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 71

Therefore, GCD of 161, 812, 623, 490 is 7.

Steps to Calculate GCD of 161, 812, 623, 490 using LCM Formula

Given numbers are 161, 812, 623, 490

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

Apply this formula for all numbers.

Step1:

LCM(161, 812) = 18676

GCD(161, 812) = ( 161 x 812 ) / 18676

= 161 / 812

= 161


Step2:

LCM(7, 623) = 623

GCD(7, 623) = ( 7 x 623 ) / 623

= 7 / 623

= 7


Step3:

LCM(7, 490) = 490

GCD(7, 490) = ( 7 x 490 ) / 490

= 7 / 490

= 7


So, Greatest Common Divisor of 161, 812, 623, 490 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 161, 812, 623, 490

Given numbers are 161, 812, 623, 490
The greatest common divisor of numbers 161, 812, 623, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 161, 812, 623, 490 is 7.

FAQs on GCD of 161, 812, 623, 490 Calculator

1. What is the GCD of 161, 812, 623, 490?

GCD of given numbers 161, 812, 623, 490 is 7


2. How to calculate the greatest common divisor of 161, 812, 623, 490?

We can find the highest common divisor of 161, 812, 623, 490 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 161, 812, 623, 490 i.e 7.


3. How can I use the GCD of 161, 812, 623, 490Calculator?

Out the numbers 161, 812, 623, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.