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GCD of 704, 737, 338, 334 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, 737, 338, 334 quickly. Get the easiest ways to solve the greatest common divisor of 704, 737, 338, 334 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 737, 338, 334 with Factoring?

Given Input numbers are 704, 737, 338, 334

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 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334


GCD of numbers is the greatest common divisor

So, the GCD (704, 737, 338, 334) = 1.

Find GCD of 704, 737, 338, 334 using Prime Factorization

Given numbers are 704, 737, 338, 334

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 737 are 11 x 67

Prime factors of 338 are 2 x 13 x 13

Prime factors of 334 are 2 x 167

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

Steps to Calculate GCD of 704, 737, 338, 334 using LCM Formula

Given numbers are 704, 737, 338, 334

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

Apply this formula for all numbers.

Step1:

LCM(704, 737) = 47168

GCD(704, 737) = ( 704 x 737 ) / 47168

= 704 / 737

= 704


Step2:

LCM(11, 338) = 3718

GCD(11, 338) = ( 11 x 338 ) / 3718

= 11 / 338

= 11


Step3:

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

= 1 / 334

= 1


So, Greatest Common Divisor of 704, 737, 338, 334 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 737, 338, 334

Given numbers are 704, 737, 338, 334
The greatest common divisor of numbers 704, 737, 338, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 737, 338, 334 is 1.

FAQs on GCD of 704, 737, 338, 334 Calculator

1. What is the GCD of 704, 737, 338, 334?

GCD of given numbers 704, 737, 338, 334 is 1


2. How to calculate the greatest common divisor of 704, 737, 338, 334?

We can find the highest common divisor of 704, 737, 338, 334 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, 737, 338, 334 i.e 1.


3. How can I use the GCD of 704, 737, 338, 334Calculator?

Out the numbers 704, 737, 338, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.