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 34, 48, 20, 60 Calculator

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


Online GCD Calculator is useful to find the GCD of 34, 48, 20, 60 quickly. Get the easiest ways to solve the greatest common divisor of 34, 48, 20, 60 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 34, 48, 20, 60 with Factoring?

Given Input numbers are 34, 48, 20, 60

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

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

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


GCD of numbers is the greatest common divisor

So, the GCD (34, 48, 20, 60) = 2.

Find GCD of 34, 48, 20, 60 using Prime Factorization

Given numbers are 34, 48, 20, 60

The list of prime factors of all numbers are

Prime factors of 34 are 2 x 17

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 20 are 2 x 2 x 5

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

The highest common occurrence is 21

Therefore, GCD of 34, 48, 20, 60 is 2.

Steps to Calculate GCD of 34, 48, 20, 60 using LCM Formula

Given numbers are 34, 48, 20, 60

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

Apply this formula for all numbers.

Step1:

LCM(34, 48) = 816

GCD(34, 48) = ( 34 x 48 ) / 816

= 34 / 48

= 34


Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2


Step3:

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2


So, Greatest Common Divisor of 34, 48, 20, 60 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 34, 48, 20, 60

Given numbers are 34, 48, 20, 60
The greatest common divisor of numbers 34, 48, 20, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 34, 48, 20, 60 is 2.

FAQs on GCD of 34, 48, 20, 60 Calculator

1. What is the GCD of 34, 48, 20, 60?

GCD of given numbers 34, 48, 20, 60 is 2


2. How to calculate the greatest common divisor of 34, 48, 20, 60?

We can find the highest common divisor of 34, 48, 20, 60 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 34, 48, 20, 60 i.e 2.


3. How can I use the GCD of 34, 48, 20, 60Calculator?

Out the numbers 34, 48, 20, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.