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GCD of 814, 751, 164, 731 Calculator

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


Online GCD Calculator is useful to find the GCD of 814, 751, 164, 731 quickly. Get the easiest ways to solve the greatest common divisor of 814, 751, 164, 731 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 751, 164, 731 with Factoring?

Given Input numbers are 814, 751, 164, 731

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 751 :

The positive integer divisors of 751 that completely divides 751 are.

1, 751

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731


GCD of numbers is the greatest common divisor

So, the GCD (814, 751, 164, 731) = 1.

Find GCD of 814, 751, 164, 731 using Prime Factorization

Given numbers are 814, 751, 164, 731

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 751 are 751

Prime factors of 164 are 2 x 2 x 41

Prime factors of 731 are 17 x 43

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

Steps to Calculate GCD of 814, 751, 164, 731 using LCM Formula

Given numbers are 814, 751, 164, 731

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

Apply this formula for all numbers.

Step1:

LCM(814, 751) = 611314

GCD(814, 751) = ( 814 x 751 ) / 611314

= 814 / 751

= 814


Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1


So, Greatest Common Divisor of 814, 751, 164, 731 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 751, 164, 731

Given numbers are 814, 751, 164, 731
The greatest common divisor of numbers 814, 751, 164, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 751, 164, 731 is 1.

FAQs on GCD of 814, 751, 164, 731 Calculator

1. What is the GCD of 814, 751, 164, 731?

GCD of given numbers 814, 751, 164, 731 is 1


2. How to calculate the greatest common divisor of 814, 751, 164, 731?

We can find the highest common divisor of 814, 751, 164, 731 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 814, 751, 164, 731 i.e 1.


3. How can I use the GCD of 814, 751, 164, 731Calculator?

Out the numbers 814, 751, 164, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.