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GCD of 736, 382, 713, 997 Calculator

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


Online GCD Calculator is useful to find the GCD of 736, 382, 713, 997 quickly. Get the easiest ways to solve the greatest common divisor of 736, 382, 713, 997 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 382, 713, 997 with Factoring?

Given Input numbers are 736, 382, 713, 997

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997


GCD of numbers is the greatest common divisor

So, the GCD (736, 382, 713, 997) = 1.

Find GCD of 736, 382, 713, 997 using Prime Factorization

Given numbers are 736, 382, 713, 997

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 382 are 2 x 191

Prime factors of 713 are 23 x 31

Prime factors of 997 are 997

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

Steps to Calculate GCD of 736, 382, 713, 997 using LCM Formula

Given numbers are 736, 382, 713, 997

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

Apply this formula for all numbers.

Step1:

LCM(736, 382) = 140576

GCD(736, 382) = ( 736 x 382 ) / 140576

= 736 / 382

= 736


Step2:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2


Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1


So, Greatest Common Divisor of 736, 382, 713, 997 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 382, 713, 997

Given numbers are 736, 382, 713, 997
The greatest common divisor of numbers 736, 382, 713, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 382, 713, 997 is 1.

FAQs on GCD of 736, 382, 713, 997 Calculator

1. What is the GCD of 736, 382, 713, 997?

GCD of given numbers 736, 382, 713, 997 is 1


2. How to calculate the greatest common divisor of 736, 382, 713, 997?

We can find the highest common divisor of 736, 382, 713, 997 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 736, 382, 713, 997 i.e 1.


3. How can I use the GCD of 736, 382, 713, 997Calculator?

Out the numbers 736, 382, 713, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.