LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 580, 142, 416, 297 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, 142, 416, 297 quickly. Get the easiest ways to solve the greatest common divisor of 580, 142, 416, 297 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 142, 416, 297 with Factoring?

Given Input numbers are 580, 142, 416, 297

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 297 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (580, 142, 416, 297) = 1.

Find GCD of 580, 142, 416, 297 using Prime Factorization

Given numbers are 580, 142, 416, 297

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

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

Steps to Calculate GCD of 580, 142, 416, 297 using LCM Formula

Given numbers are 580, 142, 416, 297

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

Apply this formula for all numbers.

Step1:

LCM(580, 142) = 41180

GCD(580, 142) = ( 580 x 142 ) / 41180

= 580 / 142

= 580


Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2


Step3:

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

= 2 / 297

= 2


So, Greatest Common Divisor of 580, 142, 416, 297 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 142, 416, 297

Given numbers are 580, 142, 416, 297
The greatest common divisor of numbers 580, 142, 416, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 142, 416, 297 is 1.

FAQs on GCD of 580, 142, 416, 297 Calculator

1. What is the GCD of 580, 142, 416, 297?

GCD of given numbers 580, 142, 416, 297 is 1


2. How to calculate the greatest common divisor of 580, 142, 416, 297?

We can find the highest common divisor of 580, 142, 416, 297 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, 142, 416, 297 i.e 1.


3. How can I use the GCD of 580, 142, 416, 297Calculator?

Out the numbers 580, 142, 416, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.