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GCD of 787, 200, 14, 889 Calculator

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


Online GCD Calculator is useful to find the GCD of 787, 200, 14, 889 quickly. Get the easiest ways to solve the greatest common divisor of 787, 200, 14, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 787, 200, 14, 889 with Factoring?

Given Input numbers are 787, 200, 14, 889

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

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

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 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (787, 200, 14, 889) = 1.

Find GCD of 787, 200, 14, 889 using Prime Factorization

Given numbers are 787, 200, 14, 889

The list of prime factors of all numbers are

Prime factors of 787 are 787

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

Prime factors of 14 are 2 x 7

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 787, 200, 14, 889 using LCM Formula

Given numbers are 787, 200, 14, 889

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

Apply this formula for all numbers.

Step1:

LCM(787, 200) = 157400

GCD(787, 200) = ( 787 x 200 ) / 157400

= 787 / 200

= 787


Step2:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1


Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


So, Greatest Common Divisor of 787, 200, 14, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 787, 200, 14, 889

Given numbers are 787, 200, 14, 889
The greatest common divisor of numbers 787, 200, 14, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 787, 200, 14, 889 is 1.

FAQs on GCD of 787, 200, 14, 889 Calculator

1. What is the GCD of 787, 200, 14, 889?

GCD of given numbers 787, 200, 14, 889 is 1


2. How to calculate the greatest common divisor of 787, 200, 14, 889?

We can find the highest common divisor of 787, 200, 14, 889 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 787, 200, 14, 889 i.e 1.


3. How can I use the GCD of 787, 200, 14, 889Calculator?

Out the numbers 787, 200, 14, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.