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GCD of 848, 176, 544, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 848, 176, 544, 704 quickly. Get the easiest ways to solve the greatest common divisor of 848, 176, 544, 704 i.e 16 in different methods as follows.

GCD of

How to Find GCD of Numbers 848, 176, 544, 704 with Factoring?

Given Input numbers are 848, 176, 544, 704

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

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (848, 176, 544, 704) = 16.

Find GCD of 848, 176, 544, 704 using Prime Factorization

Given numbers are 848, 176, 544, 704

The list of prime factors of all numbers are

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 24

Therefore, GCD of 848, 176, 544, 704 is 16.

Steps to Calculate GCD of 848, 176, 544, 704 using LCM Formula

Given numbers are 848, 176, 544, 704

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

Apply this formula for all numbers.

Step1:

LCM(848, 176) = 9328

GCD(848, 176) = ( 848 x 176 ) / 9328

= 848 / 176

= 848


Step2:

LCM(16, 544) = 544

GCD(16, 544) = ( 16 x 544 ) / 544

= 16 / 544

= 16


Step3:

LCM(16, 704) = 704

GCD(16, 704) = ( 16 x 704 ) / 704

= 16 / 704

= 16


So, Greatest Common Divisor of 848, 176, 544, 704 is 16

GCD of Numbers Calculation Examples

Greatest Common Divisor of 848, 176, 544, 704

Given numbers are 848, 176, 544, 704
The greatest common divisor of numbers 848, 176, 544, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 176, 544, 704 is 16.

FAQs on GCD of 848, 176, 544, 704 Calculator

1. What is the GCD of 848, 176, 544, 704?

GCD of given numbers 848, 176, 544, 704 is 16


2. How to calculate the greatest common divisor of 848, 176, 544, 704?

We can find the highest common divisor of 848, 176, 544, 704 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 848, 176, 544, 704 i.e 16.


3. How can I use the GCD of 848, 176, 544, 704Calculator?

Out the numbers 848, 176, 544, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.