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GCD of 513, 113, 225, 857 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 113, 225, 857 quickly. Get the easiest ways to solve the greatest common divisor of 513, 113, 225, 857 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 113, 225, 857 with Factoring?

Given Input numbers are 513, 113, 225, 857

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857


GCD of numbers is the greatest common divisor

So, the GCD (513, 113, 225, 857) = 1.

Find GCD of 513, 113, 225, 857 using Prime Factorization

Given numbers are 513, 113, 225, 857

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 113 are 113

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 857 are 857

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

Steps to Calculate GCD of 513, 113, 225, 857 using LCM Formula

Given numbers are 513, 113, 225, 857

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

Apply this formula for all numbers.

Step1:

LCM(513, 113) = 57969

GCD(513, 113) = ( 513 x 113 ) / 57969

= 513 / 113

= 513


Step2:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1


Step3:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1


So, Greatest Common Divisor of 513, 113, 225, 857 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 113, 225, 857

Given numbers are 513, 113, 225, 857
The greatest common divisor of numbers 513, 113, 225, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 113, 225, 857 is 1.

FAQs on GCD of 513, 113, 225, 857 Calculator

1. What is the GCD of 513, 113, 225, 857?

GCD of given numbers 513, 113, 225, 857 is 1


2. How to calculate the greatest common divisor of 513, 113, 225, 857?

We can find the highest common divisor of 513, 113, 225, 857 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 513, 113, 225, 857 i.e 1.


3. How can I use the GCD of 513, 113, 225, 857Calculator?

Out the numbers 513, 113, 225, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.