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GCD of 476, 188, 862, 442 Calculator

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


Online GCD Calculator is useful to find the GCD of 476, 188, 862, 442 quickly. Get the easiest ways to solve the greatest common divisor of 476, 188, 862, 442 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 476, 188, 862, 442 with Factoring?

Given Input numbers are 476, 188, 862, 442

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (476, 188, 862, 442) = 2.

Find GCD of 476, 188, 862, 442 using Prime Factorization

Given numbers are 476, 188, 862, 442

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 188 are 2 x 2 x 47

Prime factors of 862 are 2 x 431

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 476, 188, 862, 442 is 2.

Steps to Calculate GCD of 476, 188, 862, 442 using LCM Formula

Given numbers are 476, 188, 862, 442

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

Apply this formula for all numbers.

Step1:

LCM(476, 188) = 22372

GCD(476, 188) = ( 476 x 188 ) / 22372

= 476 / 188

= 476


Step2:

LCM(4, 862) = 1724

GCD(4, 862) = ( 4 x 862 ) / 1724

= 4 / 862

= 4


Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2


So, Greatest Common Divisor of 476, 188, 862, 442 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 476, 188, 862, 442

Given numbers are 476, 188, 862, 442
The greatest common divisor of numbers 476, 188, 862, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 188, 862, 442 is 2.

FAQs on GCD of 476, 188, 862, 442 Calculator

1. What is the GCD of 476, 188, 862, 442?

GCD of given numbers 476, 188, 862, 442 is 2


2. How to calculate the greatest common divisor of 476, 188, 862, 442?

We can find the highest common divisor of 476, 188, 862, 442 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 476, 188, 862, 442 i.e 2.


3. How can I use the GCD of 476, 188, 862, 442Calculator?

Out the numbers 476, 188, 862, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.