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GCD of 715, 805, 831, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 715, 805, 831, 820 quickly. Get the easiest ways to solve the greatest common divisor of 715, 805, 831, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 715, 805, 831, 820 with Factoring?

Given Input numbers are 715, 805, 831, 820

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (715, 805, 831, 820) = 1.

Find GCD of 715, 805, 831, 820 using Prime Factorization

Given numbers are 715, 805, 831, 820

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 805 are 5 x 7 x 23

Prime factors of 831 are 3 x 277

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 715, 805, 831, 820 using LCM Formula

Given numbers are 715, 805, 831, 820

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

Apply this formula for all numbers.

Step1:

LCM(715, 805) = 115115

GCD(715, 805) = ( 715 x 805 ) / 115115

= 715 / 805

= 715


Step2:

LCM(5, 831) = 4155

GCD(5, 831) = ( 5 x 831 ) / 4155

= 5 / 831

= 5


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 715, 805, 831, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 715, 805, 831, 820

Given numbers are 715, 805, 831, 820
The greatest common divisor of numbers 715, 805, 831, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 805, 831, 820 is 1.

FAQs on GCD of 715, 805, 831, 820 Calculator

1. What is the GCD of 715, 805, 831, 820?

GCD of given numbers 715, 805, 831, 820 is 1


2. How to calculate the greatest common divisor of 715, 805, 831, 820?

We can find the highest common divisor of 715, 805, 831, 820 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 715, 805, 831, 820 i.e 1.


3. How can I use the GCD of 715, 805, 831, 820Calculator?

Out the numbers 715, 805, 831, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.