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GCD of 340, 130, 422, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 340, 130, 422, 984 quickly. Get the easiest ways to solve the greatest common divisor of 340, 130, 422, 984 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 130, 422, 984 with Factoring?

Given Input numbers are 340, 130, 422, 984

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (340, 130, 422, 984) = 2.

Find GCD of 340, 130, 422, 984 using Prime Factorization

Given numbers are 340, 130, 422, 984

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 422 are 2 x 211

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 21

Therefore, GCD of 340, 130, 422, 984 is 2.

Steps to Calculate GCD of 340, 130, 422, 984 using LCM Formula

Given numbers are 340, 130, 422, 984

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

Apply this formula for all numbers.

Step1:

LCM(340, 130) = 4420

GCD(340, 130) = ( 340 x 130 ) / 4420

= 340 / 130

= 340


Step2:

LCM(10, 422) = 2110

GCD(10, 422) = ( 10 x 422 ) / 2110

= 10 / 422

= 10


Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2


So, Greatest Common Divisor of 340, 130, 422, 984 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 130, 422, 984

Given numbers are 340, 130, 422, 984
The greatest common divisor of numbers 340, 130, 422, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 130, 422, 984 is 2.

FAQs on GCD of 340, 130, 422, 984 Calculator

1. What is the GCD of 340, 130, 422, 984?

GCD of given numbers 340, 130, 422, 984 is 2


2. How to calculate the greatest common divisor of 340, 130, 422, 984?

We can find the highest common divisor of 340, 130, 422, 984 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 340, 130, 422, 984 i.e 2.


3. How can I use the GCD of 340, 130, 422, 984Calculator?

Out the numbers 340, 130, 422, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.