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GCD of 669, 957, 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 669, 957, 513 quickly. Get the easiest ways to solve the greatest common divisor of 669, 957, 513 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 669, 957, 513 with Factoring?

Given Input numbers are 669, 957, 513

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

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 (669, 957, 513) = 3.

Find GCD of 669, 957, 513 using Prime Factorization

Given numbers are 669, 957, 513

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 957 are 3 x 11 x 29

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

The highest common occurrence is 31

Therefore, GCD of 669, 957, 513 is 3.

Steps to Calculate GCD of 669, 957, 513 using LCM Formula

Given numbers are 669, 957, 513

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

Apply this formula for all numbers.

Step1:

LCM(669, 957) = 213411

GCD(669, 957) = ( 669 x 957 ) / 213411

= 669 / 957

= 669


Step2:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3


So, Greatest Common Divisor of 669, 957, 513 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 669, 957, 513

Given numbers are 669, 957, 513
The greatest common divisor of numbers 669, 957, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 957, 513 is 3.

FAQs on GCD of 669, 957, 513 Calculator

1. What is the GCD of 669, 957, 513?

GCD of given numbers 669, 957, 513 is 3


2. How to calculate the greatest common divisor of 669, 957, 513?

We can find the highest common divisor of 669, 957, 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 669, 957, 513 i.e 3.


3. How can I use the GCD of 669, 957, 513Calculator?

Out the numbers 669, 957, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.