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GCD of 896, 884, 952, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 896, 884, 952, 438 quickly. Get the easiest ways to solve the greatest common divisor of 896, 884, 952, 438 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 896, 884, 952, 438 with Factoring?

Given Input numbers are 896, 884, 952, 438

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 438 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (896, 884, 952, 438) = 2.

Find GCD of 896, 884, 952, 438 using Prime Factorization

Given numbers are 896, 884, 952, 438

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 21

Therefore, GCD of 896, 884, 952, 438 is 2.

Steps to Calculate GCD of 896, 884, 952, 438 using LCM Formula

Given numbers are 896, 884, 952, 438

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

Apply this formula for all numbers.

Step1:

LCM(896, 884) = 198016

GCD(896, 884) = ( 896 x 884 ) / 198016

= 896 / 884

= 896


Step2:

LCM(4, 952) = 952

GCD(4, 952) = ( 4 x 952 ) / 952

= 4 / 952

= 4


Step3:

LCM(4, 438) = 876

GCD(4, 438) = ( 4 x 438 ) / 876

= 4 / 438

= 4


So, Greatest Common Divisor of 896, 884, 952, 438 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 896, 884, 952, 438

Given numbers are 896, 884, 952, 438
The greatest common divisor of numbers 896, 884, 952, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 884, 952, 438 is 2.

FAQs on GCD of 896, 884, 952, 438 Calculator

1. What is the GCD of 896, 884, 952, 438?

GCD of given numbers 896, 884, 952, 438 is 2


2. How to calculate the greatest common divisor of 896, 884, 952, 438?

We can find the highest common divisor of 896, 884, 952, 438 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 896, 884, 952, 438 i.e 2.


3. How can I use the GCD of 896, 884, 952, 438Calculator?

Out the numbers 896, 884, 952, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.