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GCD of 821, 950, 235, 513 Calculator

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


Online GCD Calculator is useful to find the GCD of 821, 950, 235, 513 quickly. Get the easiest ways to solve the greatest common divisor of 821, 950, 235, 513 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 950, 235, 513 with Factoring?

Given Input numbers are 821, 950, 235, 513

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 513 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (821, 950, 235, 513) = 1.

Find GCD of 821, 950, 235, 513 using Prime Factorization

Given numbers are 821, 950, 235, 513

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 235 are 5 x 47

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

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

Steps to Calculate GCD of 821, 950, 235, 513 using LCM Formula

Given numbers are 821, 950, 235, 513

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

Apply this formula for all numbers.

Step1:

LCM(821, 950) = 779950

GCD(821, 950) = ( 821 x 950 ) / 779950

= 821 / 950

= 821


Step2:

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

= 1 / 235

= 1


Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1


So, Greatest Common Divisor of 821, 950, 235, 513 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 950, 235, 513

Given numbers are 821, 950, 235, 513
The greatest common divisor of numbers 821, 950, 235, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 950, 235, 513 is 1.

FAQs on GCD of 821, 950, 235, 513 Calculator

1. What is the GCD of 821, 950, 235, 513?

GCD of given numbers 821, 950, 235, 513 is 1


2. How to calculate the greatest common divisor of 821, 950, 235, 513?

We can find the highest common divisor of 821, 950, 235, 513 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 821, 950, 235, 513 i.e 1.


3. How can I use the GCD of 821, 950, 235, 513Calculator?

Out the numbers 821, 950, 235, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.