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GCD of 435, 312, 820, 813 Calculator

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


Online GCD Calculator is useful to find the GCD of 435, 312, 820, 813 quickly. Get the easiest ways to solve the greatest common divisor of 435, 312, 820, 813 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 435, 312, 820, 813 with Factoring?

Given Input numbers are 435, 312, 820, 813

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813


GCD of numbers is the greatest common divisor

So, the GCD (435, 312, 820, 813) = 1.

Find GCD of 435, 312, 820, 813 using Prime Factorization

Given numbers are 435, 312, 820, 813

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 813 are 3 x 271

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

Steps to Calculate GCD of 435, 312, 820, 813 using LCM Formula

Given numbers are 435, 312, 820, 813

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

Apply this formula for all numbers.

Step1:

LCM(435, 312) = 45240

GCD(435, 312) = ( 435 x 312 ) / 45240

= 435 / 312

= 435


Step2:

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

= 3 / 820

= 3


Step3:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1


So, Greatest Common Divisor of 435, 312, 820, 813 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 435, 312, 820, 813

Given numbers are 435, 312, 820, 813
The greatest common divisor of numbers 435, 312, 820, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 312, 820, 813 is 1.

FAQs on GCD of 435, 312, 820, 813 Calculator

1. What is the GCD of 435, 312, 820, 813?

GCD of given numbers 435, 312, 820, 813 is 1


2. How to calculate the greatest common divisor of 435, 312, 820, 813?

We can find the highest common divisor of 435, 312, 820, 813 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 435, 312, 820, 813 i.e 1.


3. How can I use the GCD of 435, 312, 820, 813Calculator?

Out the numbers 435, 312, 820, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.