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GCD of 580, 742, 428, 385 Calculator

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


Online GCD Calculator is useful to find the GCD of 580, 742, 428, 385 quickly. Get the easiest ways to solve the greatest common divisor of 580, 742, 428, 385 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 742, 428, 385 with Factoring?

Given Input numbers are 580, 742, 428, 385

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385


GCD of numbers is the greatest common divisor

So, the GCD (580, 742, 428, 385) = 1.

Find GCD of 580, 742, 428, 385 using Prime Factorization

Given numbers are 580, 742, 428, 385

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 742 are 2 x 7 x 53

Prime factors of 428 are 2 x 2 x 107

Prime factors of 385 are 5 x 7 x 11

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

Steps to Calculate GCD of 580, 742, 428, 385 using LCM Formula

Given numbers are 580, 742, 428, 385

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

Apply this formula for all numbers.

Step1:

LCM(580, 742) = 215180

GCD(580, 742) = ( 580 x 742 ) / 215180

= 580 / 742

= 580


Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2


Step3:

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

= 2 / 385

= 2


So, Greatest Common Divisor of 580, 742, 428, 385 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 742, 428, 385

Given numbers are 580, 742, 428, 385
The greatest common divisor of numbers 580, 742, 428, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 742, 428, 385 is 1.

FAQs on GCD of 580, 742, 428, 385 Calculator

1. What is the GCD of 580, 742, 428, 385?

GCD of given numbers 580, 742, 428, 385 is 1


2. How to calculate the greatest common divisor of 580, 742, 428, 385?

We can find the highest common divisor of 580, 742, 428, 385 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 580, 742, 428, 385 i.e 1.


3. How can I use the GCD of 580, 742, 428, 385Calculator?

Out the numbers 580, 742, 428, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.