Where do I get the detailed procedure to find GCD of 357, 693, 57?

You can find a detailed procedure to find GCD of 357, 693, 57 on our page.

How to find GCD of 357, 693, 57 on a calculator?

You can find the GCD of 357, 693, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 357, 693, 57 Calculator

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

Online GCD Calculator is useful to find the GCD of 357, 693, 57 quickly. Get the easiest ways to solve the greatest common divisor of 357, 693, 57 i.e 3 in different methods as follows.

How to Find GCD of Numbers 357, 693, 57 with Factoring?

Given Input numbers are 357, 693, 57

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

GCD of numbers is the greatest common divisor

So, the GCD (357, 693, 57) = 3.

Find GCD of 357, 693, 57 using Prime Factorization

Given numbers are 357, 693, 57

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 57 are 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 357, 693, 57 is 3.

Steps to Calculate GCD of 357, 693, 57 using LCM Formula

Given numbers are 357, 693, 57

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

Apply this formula for all numbers.

Step1:

LCM(357, 693) = 11781

GCD(357, 693) = ( 357 x 693 ) / 11781

= 357 / 693

= 357

Step2:

LCM(21, 57) = 399

GCD(21, 57) = ( 21 x 57 ) / 399

= 21 / 57

= 21

So, Greatest Common Divisor of 357, 693, 57 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 357, 693, 57

Given numbers are 357, 693, 57
The greatest common divisor of numbers 357, 693, 57 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 693, 57 is 3.

FAQs on GCD of 357, 693, 57 Calculator

1. What is the GCD of 357, 693, 57?

GCD of given numbers 357, 693, 57 is 3

2. How to calculate the greatest common divisor of 357, 693, 57?

We can find the highest common divisor of 357, 693, 57 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 357, 693, 57 i.e 3.

3. How can I use the GCD of 357, 693, 57Calculator?

Out the numbers 357, 693, 57 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.