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GCD of 704, 404, 357, 896 Calculator

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


Online GCD Calculator is useful to find the GCD of 704, 404, 357, 896 quickly. Get the easiest ways to solve the greatest common divisor of 704, 404, 357, 896 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 404, 357, 896 with Factoring?

Given Input numbers are 704, 404, 357, 896

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

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

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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


GCD of numbers is the greatest common divisor

So, the GCD (704, 404, 357, 896) = 1.

Find GCD of 704, 404, 357, 896 using Prime Factorization

Given numbers are 704, 404, 357, 896

The list of prime factors of all numbers are

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

Prime factors of 404 are 2 x 2 x 101

Prime factors of 357 are 3 x 7 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 704, 404, 357, 896 using LCM Formula

Given numbers are 704, 404, 357, 896

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

Apply this formula for all numbers.

Step1:

LCM(704, 404) = 71104

GCD(704, 404) = ( 704 x 404 ) / 71104

= 704 / 404

= 704


Step2:

LCM(4, 357) = 1428

GCD(4, 357) = ( 4 x 357 ) / 1428

= 4 / 357

= 4


Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1


So, Greatest Common Divisor of 704, 404, 357, 896 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 404, 357, 896

Given numbers are 704, 404, 357, 896
The greatest common divisor of numbers 704, 404, 357, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 404, 357, 896 is 1.

FAQs on GCD of 704, 404, 357, 896 Calculator

1. What is the GCD of 704, 404, 357, 896?

GCD of given numbers 704, 404, 357, 896 is 1


2. How to calculate the greatest common divisor of 704, 404, 357, 896?

We can find the highest common divisor of 704, 404, 357, 896 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 704, 404, 357, 896 i.e 1.


3. How can I use the GCD of 704, 404, 357, 896Calculator?

Out the numbers 704, 404, 357, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.