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GCD of 705, 908, 338, 335 Calculator

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


Online GCD Calculator is useful to find the GCD of 705, 908, 338, 335 quickly. Get the easiest ways to solve the greatest common divisor of 705, 908, 338, 335 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 705, 908, 338, 335 with Factoring?

Given Input numbers are 705, 908, 338, 335

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335


GCD of numbers is the greatest common divisor

So, the GCD (705, 908, 338, 335) = 1.

Find GCD of 705, 908, 338, 335 using Prime Factorization

Given numbers are 705, 908, 338, 335

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 908 are 2 x 2 x 227

Prime factors of 338 are 2 x 13 x 13

Prime factors of 335 are 5 x 67

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

Steps to Calculate GCD of 705, 908, 338, 335 using LCM Formula

Given numbers are 705, 908, 338, 335

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

Apply this formula for all numbers.

Step1:

LCM(705, 908) = 640140

GCD(705, 908) = ( 705 x 908 ) / 640140

= 705 / 908

= 705


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

= 1 / 335

= 1


So, Greatest Common Divisor of 705, 908, 338, 335 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 705, 908, 338, 335

Given numbers are 705, 908, 338, 335
The greatest common divisor of numbers 705, 908, 338, 335 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 908, 338, 335 is 1.

FAQs on GCD of 705, 908, 338, 335 Calculator

1. What is the GCD of 705, 908, 338, 335?

GCD of given numbers 705, 908, 338, 335 is 1


2. How to calculate the greatest common divisor of 705, 908, 338, 335?

We can find the highest common divisor of 705, 908, 338, 335 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 705, 908, 338, 335 i.e 1.


3. How can I use the GCD of 705, 908, 338, 335Calculator?

Out the numbers 705, 908, 338, 335 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.