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GCD of 789, 297, 784, 661 Calculator

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


Online GCD Calculator is useful to find the GCD of 789, 297, 784, 661 quickly. Get the easiest ways to solve the greatest common divisor of 789, 297, 784, 661 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 789, 297, 784, 661 with Factoring?

Given Input numbers are 789, 297, 784, 661

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661


GCD of numbers is the greatest common divisor

So, the GCD (789, 297, 784, 661) = 1.

Find GCD of 789, 297, 784, 661 using Prime Factorization

Given numbers are 789, 297, 784, 661

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 661 are 661

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

Steps to Calculate GCD of 789, 297, 784, 661 using LCM Formula

Given numbers are 789, 297, 784, 661

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

Apply this formula for all numbers.

Step1:

LCM(789, 297) = 78111

GCD(789, 297) = ( 789 x 297 ) / 78111

= 789 / 297

= 789


Step2:

LCM(3, 784) = 2352

GCD(3, 784) = ( 3 x 784 ) / 2352

= 3 / 784

= 3


Step3:

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

= 1 / 661

= 1


So, Greatest Common Divisor of 789, 297, 784, 661 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 789, 297, 784, 661

Given numbers are 789, 297, 784, 661
The greatest common divisor of numbers 789, 297, 784, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 297, 784, 661 is 1.

FAQs on GCD of 789, 297, 784, 661 Calculator

1. What is the GCD of 789, 297, 784, 661?

GCD of given numbers 789, 297, 784, 661 is 1


2. How to calculate the greatest common divisor of 789, 297, 784, 661?

We can find the highest common divisor of 789, 297, 784, 661 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 789, 297, 784, 661 i.e 1.


3. How can I use the GCD of 789, 297, 784, 661Calculator?

Out the numbers 789, 297, 784, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.