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GCD of 200, 770, 809, 779 Calculator

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


Online GCD Calculator is useful to find the GCD of 200, 770, 809, 779 quickly. Get the easiest ways to solve the greatest common divisor of 200, 770, 809, 779 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 770, 809, 779 with Factoring?

Given Input numbers are 200, 770, 809, 779

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779


GCD of numbers is the greatest common divisor

So, the GCD (200, 770, 809, 779) = 1.

Find GCD of 200, 770, 809, 779 using Prime Factorization

Given numbers are 200, 770, 809, 779

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Prime factors of 809 are 809

Prime factors of 779 are 19 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 200, 770, 809, 779 using LCM Formula

Given numbers are 200, 770, 809, 779

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

Apply this formula for all numbers.

Step1:

LCM(200, 770) = 15400

GCD(200, 770) = ( 200 x 770 ) / 15400

= 200 / 770

= 200


Step2:

LCM(10, 809) = 8090

GCD(10, 809) = ( 10 x 809 ) / 8090

= 10 / 809

= 10


Step3:

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

= 1 / 779

= 1


So, Greatest Common Divisor of 200, 770, 809, 779 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 770, 809, 779

Given numbers are 200, 770, 809, 779
The greatest common divisor of numbers 200, 770, 809, 779 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 770, 809, 779 is 1.

FAQs on GCD of 200, 770, 809, 779 Calculator

1. What is the GCD of 200, 770, 809, 779?

GCD of given numbers 200, 770, 809, 779 is 1


2. How to calculate the greatest common divisor of 200, 770, 809, 779?

We can find the highest common divisor of 200, 770, 809, 779 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 200, 770, 809, 779 i.e 1.


3. How can I use the GCD of 200, 770, 809, 779Calculator?

Out the numbers 200, 770, 809, 779 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.