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 650, 180, 105 Calculator

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


Online GCD Calculator is useful to find the GCD of 650, 180, 105 quickly. Get the easiest ways to solve the greatest common divisor of 650, 180, 105 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 180, 105 with Factoring?

Given Input numbers are 650, 180, 105

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105


GCD of numbers is the greatest common divisor

So, the GCD (650, 180, 105) = 5.

Find GCD of 650, 180, 105 using Prime Factorization

Given numbers are 650, 180, 105

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 51

Therefore, GCD of 650, 180, 105 is 5.

Steps to Calculate GCD of 650, 180, 105 using LCM Formula

Given numbers are 650, 180, 105

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

Apply this formula for all numbers.

Step1:

LCM(650, 180) = 11700

GCD(650, 180) = ( 650 x 180 ) / 11700

= 650 / 180

= 650


Step2:

LCM(10, 105) = 210

GCD(10, 105) = ( 10 x 105 ) / 210

= 10 / 105

= 10


So, Greatest Common Divisor of 650, 180, 105 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 180, 105

Given numbers are 650, 180, 105
The greatest common divisor of numbers 650, 180, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 180, 105 is 5.

FAQs on GCD of 650, 180, 105 Calculator

1. What is the GCD of 650, 180, 105?

GCD of given numbers 650, 180, 105 is 5


2. How to calculate the greatest common divisor of 650, 180, 105?

We can find the highest common divisor of 650, 180, 105 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 650, 180, 105 i.e 5.


3. How can I use the GCD of 650, 180, 105Calculator?

Out the numbers 650, 180, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.