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GCD of 704, 171, 135, 604 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, 171, 135, 604 quickly. Get the easiest ways to solve the greatest common divisor of 704, 171, 135, 604 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 171, 135, 604 with Factoring?

Given Input numbers are 704, 171, 135, 604

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 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604


GCD of numbers is the greatest common divisor

So, the GCD (704, 171, 135, 604) = 1.

Find GCD of 704, 171, 135, 604 using Prime Factorization

Given numbers are 704, 171, 135, 604

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 171 are 3 x 3 x 19

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 604 are 2 x 2 x 151

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

Steps to Calculate GCD of 704, 171, 135, 604 using LCM Formula

Given numbers are 704, 171, 135, 604

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

Apply this formula for all numbers.

Step1:

LCM(704, 171) = 120384

GCD(704, 171) = ( 704 x 171 ) / 120384

= 704 / 171

= 704


Step2:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


Step3:

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

= 1 / 604

= 1


So, Greatest Common Divisor of 704, 171, 135, 604 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 171, 135, 604

Given numbers are 704, 171, 135, 604
The greatest common divisor of numbers 704, 171, 135, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 171, 135, 604 is 1.

FAQs on GCD of 704, 171, 135, 604 Calculator

1. What is the GCD of 704, 171, 135, 604?

GCD of given numbers 704, 171, 135, 604 is 1


2. How to calculate the greatest common divisor of 704, 171, 135, 604?

We can find the highest common divisor of 704, 171, 135, 604 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, 171, 135, 604 i.e 1.


3. How can I use the GCD of 704, 171, 135, 604Calculator?

Out the numbers 704, 171, 135, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.