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GCD of 528, 848, 404, 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 528, 848, 404, 704 quickly. Get the easiest ways to solve the greatest common divisor of 528, 848, 404, 704 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 528, 848, 404, 704 with Factoring?

Given Input numbers are 528, 848, 404, 704

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 (528, 848, 404, 704) = 4.

Find GCD of 528, 848, 404, 704 using Prime Factorization

Given numbers are 528, 848, 404, 704

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Prime factors of 404 are 2 x 2 x 101

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

The highest common occurrence is 22

Therefore, GCD of 528, 848, 404, 704 is 4.

Steps to Calculate GCD of 528, 848, 404, 704 using LCM Formula

Given numbers are 528, 848, 404, 704

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

Apply this formula for all numbers.

Step1:

LCM(528, 848) = 27984

GCD(528, 848) = ( 528 x 848 ) / 27984

= 528 / 848

= 528


Step2:

LCM(16, 404) = 1616

GCD(16, 404) = ( 16 x 404 ) / 1616

= 16 / 404

= 16


Step3:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4


So, Greatest Common Divisor of 528, 848, 404, 704 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 528, 848, 404, 704

Given numbers are 528, 848, 404, 704
The greatest common divisor of numbers 528, 848, 404, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 848, 404, 704 is 4.

FAQs on GCD of 528, 848, 404, 704 Calculator

1. What is the GCD of 528, 848, 404, 704?

GCD of given numbers 528, 848, 404, 704 is 4


2. How to calculate the greatest common divisor of 528, 848, 404, 704?

We can find the highest common divisor of 528, 848, 404, 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 528, 848, 404, 704 i.e 4.


3. How can I use the GCD of 528, 848, 404, 704Calculator?

Out the numbers 528, 848, 404, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.