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GCD of 770, 230, 210 Calculator

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


Online GCD Calculator is useful to find the GCD of 770, 230, 210 quickly. Get the easiest ways to solve the greatest common divisor of 770, 230, 210 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 770, 230, 210 with Factoring?

Given Input numbers are 770, 230, 210

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

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


GCD of numbers is the greatest common divisor

So, the GCD (770, 230, 210) = 10.

Find GCD of 770, 230, 210 using Prime Factorization

Given numbers are 770, 230, 210

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 230 are 2 x 5 x 23

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

The highest common occurrence is 21 x 51

Therefore, GCD of 770, 230, 210 is 10.

Steps to Calculate GCD of 770, 230, 210 using LCM Formula

Given numbers are 770, 230, 210

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

Apply this formula for all numbers.

Step1:

LCM(770, 230) = 17710

GCD(770, 230) = ( 770 x 230 ) / 17710

= 770 / 230

= 770


Step2:

LCM(10, 210) = 210

GCD(10, 210) = ( 10 x 210 ) / 210

= 10 / 210

= 10


So, Greatest Common Divisor of 770, 230, 210 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 770, 230, 210

Given numbers are 770, 230, 210
The greatest common divisor of numbers 770, 230, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 230, 210 is 10.

FAQs on GCD of 770, 230, 210 Calculator

1. What is the GCD of 770, 230, 210?

GCD of given numbers 770, 230, 210 is 10


2. How to calculate the greatest common divisor of 770, 230, 210?

We can find the highest common divisor of 770, 230, 210 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 770, 230, 210 i.e 10.


3. How can I use the GCD of 770, 230, 210Calculator?

Out the numbers 770, 230, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.