Where do I get the detailed procedure to find GCD of 210, 114, 702?

You can find a detailed procedure to find GCD of 210, 114, 702 on our page.

How to find GCD of 210, 114, 702 on a calculator?

You can find the GCD of 210, 114, 702 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 210, 114, 702 Calculator

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

Online GCD Calculator is useful to find the GCD of 210, 114, 702 quickly. Get the easiest ways to solve the greatest common divisor of 210, 114, 702 i.e 6 in different methods as follows.

How to Find GCD of Numbers 210, 114, 702 with Factoring?

Given Input numbers are 210, 114, 702

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (210, 114, 702) = 6.

Find GCD of 210, 114, 702 using Prime Factorization

Given numbers are 210, 114, 702

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 114 are 2 x 3 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 210, 114, 702 is 6.

Steps to Calculate GCD of 210, 114, 702 using LCM Formula

Given numbers are 210, 114, 702

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

Apply this formula for all numbers.

Step1:

LCM(210, 114) = 3990

GCD(210, 114) = ( 210 x 114 ) / 3990

= 210 / 114

= 210

Step2:

LCM(6, 702) = 702

GCD(6, 702) = ( 6 x 702 ) / 702

= 6 / 702

= 6

So, Greatest Common Divisor of 210, 114, 702 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 210, 114, 702

Given numbers are 210, 114, 702
The greatest common divisor of numbers 210, 114, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 114, 702 is 6.

FAQs on GCD of 210, 114, 702 Calculator

1. What is the GCD of 210, 114, 702?

GCD of given numbers 210, 114, 702 is 6

2. How to calculate the greatest common divisor of 210, 114, 702?

We can find the highest common divisor of 210, 114, 702 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 210, 114, 702 i.e 6.

3. How can I use the GCD of 210, 114, 702Calculator?

Out the numbers 210, 114, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.