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GCD of 520, 840, 174, 222 Calculator

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


Online GCD Calculator is useful to find the GCD of 520, 840, 174, 222 quickly. Get the easiest ways to solve the greatest common divisor of 520, 840, 174, 222 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 840, 174, 222 with Factoring?

Given Input numbers are 520, 840, 174, 222

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222


GCD of numbers is the greatest common divisor

So, the GCD (520, 840, 174, 222) = 2.

Find GCD of 520, 840, 174, 222 using Prime Factorization

Given numbers are 520, 840, 174, 222

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 520, 840, 174, 222 is 2.

Steps to Calculate GCD of 520, 840, 174, 222 using LCM Formula

Given numbers are 520, 840, 174, 222

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

Apply this formula for all numbers.

Step1:

LCM(520, 840) = 10920

GCD(520, 840) = ( 520 x 840 ) / 10920

= 520 / 840

= 520


Step2:

LCM(40, 174) = 3480

GCD(40, 174) = ( 40 x 174 ) / 3480

= 40 / 174

= 40


Step3:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2


So, Greatest Common Divisor of 520, 840, 174, 222 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 840, 174, 222

Given numbers are 520, 840, 174, 222
The greatest common divisor of numbers 520, 840, 174, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 840, 174, 222 is 2.

FAQs on GCD of 520, 840, 174, 222 Calculator

1. What is the GCD of 520, 840, 174, 222?

GCD of given numbers 520, 840, 174, 222 is 2


2. How to calculate the greatest common divisor of 520, 840, 174, 222?

We can find the highest common divisor of 520, 840, 174, 222 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 520, 840, 174, 222 i.e 2.


3. How can I use the GCD of 520, 840, 174, 222Calculator?

Out the numbers 520, 840, 174, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.