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GCD of 60, 8, 19, 22 Calculator

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


Online GCD Calculator is useful to find the GCD of 60, 8, 19, 22 quickly. Get the easiest ways to solve the greatest common divisor of 60, 8, 19, 22 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 60, 8, 19, 22 with Factoring?

Given Input numbers are 60, 8, 19, 22

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

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 8 :

The positive integer divisors of 8 that completely divides 8 are.

1, 2, 4, 8

Divisors of 19 :

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

1, 19

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22


GCD of numbers is the greatest common divisor

So, the GCD (60, 8, 19, 22) = 1.

Find GCD of 60, 8, 19, 22 using Prime Factorization

Given numbers are 60, 8, 19, 22

The list of prime factors of all numbers are

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 8 are 2 x 2 x 2

Prime factors of 19 are 19

Prime factors of 22 are 2 x 11

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

Steps to Calculate GCD of 60, 8, 19, 22 using LCM Formula

Given numbers are 60, 8, 19, 22

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

Apply this formula for all numbers.

Step1:

LCM(60, 8) = 120

GCD(60, 8) = ( 60 x 8 ) / 120

= 60 / 8

= 60


Step2:

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

= 4 / 19

= 4


Step3:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1


So, Greatest Common Divisor of 60, 8, 19, 22 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 60, 8, 19, 22

Given numbers are 60, 8, 19, 22
The greatest common divisor of numbers 60, 8, 19, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 60, 8, 19, 22 is 1.

FAQs on GCD of 60, 8, 19, 22 Calculator

1. What is the GCD of 60, 8, 19, 22?

GCD of given numbers 60, 8, 19, 22 is 1


2. How to calculate the greatest common divisor of 60, 8, 19, 22?

We can find the highest common divisor of 60, 8, 19, 22 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 60, 8, 19, 22 i.e 1.


3. How can I use the GCD of 60, 8, 19, 22Calculator?

Out the numbers 60, 8, 19, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.