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GCD of 58, 80, 61, 19 Calculator

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


Online GCD Calculator is useful to find the GCD of 58, 80, 61, 19 quickly. Get the easiest ways to solve the greatest common divisor of 58, 80, 61, 19 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 58, 80, 61, 19 with Factoring?

Given Input numbers are 58, 80, 61, 19

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

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 19 :

The positive integer divisors of 19 that completely divides 19 are.

1, 19


GCD of numbers is the greatest common divisor

So, the GCD (58, 80, 61, 19) = 1.

Find GCD of 58, 80, 61, 19 using Prime Factorization

Given numbers are 58, 80, 61, 19

The list of prime factors of all numbers are

Prime factors of 58 are 2 x 29

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 61 are 61

Prime factors of 19 are 19

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

Steps to Calculate GCD of 58, 80, 61, 19 using LCM Formula

Given numbers are 58, 80, 61, 19

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

Apply this formula for all numbers.

Step1:

LCM(58, 80) = 2320

GCD(58, 80) = ( 58 x 80 ) / 2320

= 58 / 80

= 58


Step2:

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

= 2 / 61

= 2


Step3:

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

= 1 / 19

= 1


So, Greatest Common Divisor of 58, 80, 61, 19 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 58, 80, 61, 19

Given numbers are 58, 80, 61, 19
The greatest common divisor of numbers 58, 80, 61, 19 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 58, 80, 61, 19 is 1.

FAQs on GCD of 58, 80, 61, 19 Calculator

1. What is the GCD of 58, 80, 61, 19?

GCD of given numbers 58, 80, 61, 19 is 1


2. How to calculate the greatest common divisor of 58, 80, 61, 19?

We can find the highest common divisor of 58, 80, 61, 19 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 58, 80, 61, 19 i.e 1.


3. How can I use the GCD of 58, 80, 61, 19Calculator?

Out the numbers 58, 80, 61, 19 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.