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GCD of 785, 180, 565, 427 Calculator

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


Online GCD Calculator is useful to find the GCD of 785, 180, 565, 427 quickly. Get the easiest ways to solve the greatest common divisor of 785, 180, 565, 427 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 785, 180, 565, 427 with Factoring?

Given Input numbers are 785, 180, 565, 427

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (785, 180, 565, 427) = 1.

Find GCD of 785, 180, 565, 427 using Prime Factorization

Given numbers are 785, 180, 565, 427

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 565 are 5 x 113

Prime factors of 427 are 7 x 61

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

Steps to Calculate GCD of 785, 180, 565, 427 using LCM Formula

Given numbers are 785, 180, 565, 427

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

Apply this formula for all numbers.

Step1:

LCM(785, 180) = 28260

GCD(785, 180) = ( 785 x 180 ) / 28260

= 785 / 180

= 785


Step2:

LCM(5, 565) = 565

GCD(5, 565) = ( 5 x 565 ) / 565

= 5 / 565

= 5


Step3:

LCM(5, 427) = 2135

GCD(5, 427) = ( 5 x 427 ) / 2135

= 5 / 427

= 5


So, Greatest Common Divisor of 785, 180, 565, 427 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 785, 180, 565, 427

Given numbers are 785, 180, 565, 427
The greatest common divisor of numbers 785, 180, 565, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 180, 565, 427 is 1.

FAQs on GCD of 785, 180, 565, 427 Calculator

1. What is the GCD of 785, 180, 565, 427?

GCD of given numbers 785, 180, 565, 427 is 1


2. How to calculate the greatest common divisor of 785, 180, 565, 427?

We can find the highest common divisor of 785, 180, 565, 427 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 785, 180, 565, 427 i.e 1.


3. How can I use the GCD of 785, 180, 565, 427Calculator?

Out the numbers 785, 180, 565, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.