Where do I get the detailed procedure to find GCD of 141, 636, 690?

You can find a detailed procedure to find GCD of 141, 636, 690 on our page.

How to find GCD of 141, 636, 690 on a calculator?

You can find the GCD of 141, 636, 690 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 141, 636, 690 Calculator

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

Online GCD Calculator is useful to find the GCD of 141, 636, 690 quickly. Get the easiest ways to solve the greatest common divisor of 141, 636, 690 i.e 3 in different methods as follows.

How to Find GCD of Numbers 141, 636, 690 with Factoring?

Given Input numbers are 141, 636, 690

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

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (141, 636, 690) = 3.

Find GCD of 141, 636, 690 using Prime Factorization

Given numbers are 141, 636, 690

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 141, 636, 690 is 3.

Steps to Calculate GCD of 141, 636, 690 using LCM Formula

Given numbers are 141, 636, 690

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

Apply this formula for all numbers.

Step1:

LCM(141, 636) = 29892

GCD(141, 636) = ( 141 x 636 ) / 29892

= 141 / 636

= 141

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 141, 636, 690 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 141, 636, 690

Given numbers are 141, 636, 690
The greatest common divisor of numbers 141, 636, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 636, 690 is 3.

FAQs on GCD of 141, 636, 690 Calculator

1. What is the GCD of 141, 636, 690?

GCD of given numbers 141, 636, 690 is 3

2. How to calculate the greatest common divisor of 141, 636, 690?

We can find the highest common divisor of 141, 636, 690 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 141, 636, 690 i.e 3.

3. How can I use the GCD of 141, 636, 690Calculator?

Out the numbers 141, 636, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.