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GCD of 814, 709, 909, 953 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, 709, 909, 953 quickly. Get the easiest ways to solve the greatest common divisor of 814, 709, 909, 953 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 814, 709, 909, 953 with Factoring?

Given Input numbers are 814, 709, 909, 953

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 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953


GCD of numbers is the greatest common divisor

So, the GCD (814, 709, 909, 953) = 1.

Find GCD of 814, 709, 909, 953 using Prime Factorization

Given numbers are 814, 709, 909, 953

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 709 are 709

Prime factors of 909 are 3 x 3 x 101

Prime factors of 953 are 953

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

Steps to Calculate GCD of 814, 709, 909, 953 using LCM Formula

Given numbers are 814, 709, 909, 953

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

Apply this formula for all numbers.

Step1:

LCM(814, 709) = 577126

GCD(814, 709) = ( 814 x 709 ) / 577126

= 814 / 709

= 814


Step2:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1


Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1


So, Greatest Common Divisor of 814, 709, 909, 953 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 814, 709, 909, 953

Given numbers are 814, 709, 909, 953
The greatest common divisor of numbers 814, 709, 909, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 709, 909, 953 is 1.

FAQs on GCD of 814, 709, 909, 953 Calculator

1. What is the GCD of 814, 709, 909, 953?

GCD of given numbers 814, 709, 909, 953 is 1


2. How to calculate the greatest common divisor of 814, 709, 909, 953?

We can find the highest common divisor of 814, 709, 909, 953 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, 709, 909, 953 i.e 1.


3. How can I use the GCD of 814, 709, 909, 953Calculator?

Out the numbers 814, 709, 909, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.