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GCD of 729, 343, 737, 402 Calculator

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


Online GCD Calculator is useful to find the GCD of 729, 343, 737, 402 quickly. Get the easiest ways to solve the greatest common divisor of 729, 343, 737, 402 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 343, 737, 402 with Factoring?

Given Input numbers are 729, 343, 737, 402

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 737 :

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

1, 11, 67, 737

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402


GCD of numbers is the greatest common divisor

So, the GCD (729, 343, 737, 402) = 1.

Find GCD of 729, 343, 737, 402 using Prime Factorization

Given numbers are 729, 343, 737, 402

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 343 are 7 x 7 x 7

Prime factors of 737 are 11 x 67

Prime factors of 402 are 2 x 3 x 67

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

Steps to Calculate GCD of 729, 343, 737, 402 using LCM Formula

Given numbers are 729, 343, 737, 402

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

Apply this formula for all numbers.

Step1:

LCM(729, 343) = 250047

GCD(729, 343) = ( 729 x 343 ) / 250047

= 729 / 343

= 729


Step2:

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

= 1 / 737

= 1


Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1


So, Greatest Common Divisor of 729, 343, 737, 402 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 343, 737, 402

Given numbers are 729, 343, 737, 402
The greatest common divisor of numbers 729, 343, 737, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 343, 737, 402 is 1.

FAQs on GCD of 729, 343, 737, 402 Calculator

1. What is the GCD of 729, 343, 737, 402?

GCD of given numbers 729, 343, 737, 402 is 1


2. How to calculate the greatest common divisor of 729, 343, 737, 402?

We can find the highest common divisor of 729, 343, 737, 402 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 729, 343, 737, 402 i.e 1.


3. How can I use the GCD of 729, 343, 737, 402Calculator?

Out the numbers 729, 343, 737, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.