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GCD of 876, 438, 362, 338 Calculator

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


Online GCD Calculator is useful to find the GCD of 876, 438, 362, 338 quickly. Get the easiest ways to solve the greatest common divisor of 876, 438, 362, 338 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 438, 362, 338 with Factoring?

Given Input numbers are 876, 438, 362, 338

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338


GCD of numbers is the greatest common divisor

So, the GCD (876, 438, 362, 338) = 2.

Find GCD of 876, 438, 362, 338 using Prime Factorization

Given numbers are 876, 438, 362, 338

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 438 are 2 x 3 x 73

Prime factors of 362 are 2 x 181

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 21

Therefore, GCD of 876, 438, 362, 338 is 2.

Steps to Calculate GCD of 876, 438, 362, 338 using LCM Formula

Given numbers are 876, 438, 362, 338

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

Apply this formula for all numbers.

Step1:

LCM(876, 438) = 876

GCD(876, 438) = ( 876 x 438 ) / 876

= 876 / 438

= 876


Step2:

LCM(438, 362) = 79278

GCD(438, 362) = ( 438 x 362 ) / 79278

= 438 / 362

= 438


Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2


So, Greatest Common Divisor of 876, 438, 362, 338 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 438, 362, 338

Given numbers are 876, 438, 362, 338
The greatest common divisor of numbers 876, 438, 362, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 438, 362, 338 is 2.

FAQs on GCD of 876, 438, 362, 338 Calculator

1. What is the GCD of 876, 438, 362, 338?

GCD of given numbers 876, 438, 362, 338 is 2


2. How to calculate the greatest common divisor of 876, 438, 362, 338?

We can find the highest common divisor of 876, 438, 362, 338 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 876, 438, 362, 338 i.e 2.


3. How can I use the GCD of 876, 438, 362, 338Calculator?

Out the numbers 876, 438, 362, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.