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GCD of 787, 998, 780, 369 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, 998, 780, 369 quickly. Get the easiest ways to solve the greatest common divisor of 787, 998, 780, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 787, 998, 780, 369 with Factoring?

Given Input numbers are 787, 998, 780, 369

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (787, 998, 780, 369) = 1.

Find GCD of 787, 998, 780, 369 using Prime Factorization

Given numbers are 787, 998, 780, 369

The list of prime factors of all numbers are

Prime factors of 787 are 787

Prime factors of 998 are 2 x 499

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 787, 998, 780, 369 using LCM Formula

Given numbers are 787, 998, 780, 369

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

Apply this formula for all numbers.

Step1:

LCM(787, 998) = 785426

GCD(787, 998) = ( 787 x 998 ) / 785426

= 787 / 998

= 787


Step2:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1


Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


So, Greatest Common Divisor of 787, 998, 780, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 787, 998, 780, 369

Given numbers are 787, 998, 780, 369
The greatest common divisor of numbers 787, 998, 780, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 787, 998, 780, 369 is 1.

FAQs on GCD of 787, 998, 780, 369 Calculator

1. What is the GCD of 787, 998, 780, 369?

GCD of given numbers 787, 998, 780, 369 is 1


2. How to calculate the greatest common divisor of 787, 998, 780, 369?

We can find the highest common divisor of 787, 998, 780, 369 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, 998, 780, 369 i.e 1.


3. How can I use the GCD of 787, 998, 780, 369Calculator?

Out the numbers 787, 998, 780, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.