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GCD of 180, 965, 650, 955 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 965, 650, 955 quickly. Get the easiest ways to solve the greatest common divisor of 180, 965, 650, 955 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 965, 650, 955 with Factoring?

Given Input numbers are 180, 965, 650, 955

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

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 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

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 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955


GCD of numbers is the greatest common divisor

So, the GCD (180, 965, 650, 955) = 5.

Find GCD of 180, 965, 650, 955 using Prime Factorization

Given numbers are 180, 965, 650, 955

The list of prime factors of all numbers are

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

Prime factors of 965 are 5 x 193

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

Prime factors of 955 are 5 x 191

The highest common occurrence is 51

Therefore, GCD of 180, 965, 650, 955 is 5.

Steps to Calculate GCD of 180, 965, 650, 955 using LCM Formula

Given numbers are 180, 965, 650, 955

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

Apply this formula for all numbers.

Step1:

LCM(180, 965) = 34740

GCD(180, 965) = ( 180 x 965 ) / 34740

= 180 / 965

= 180


Step2:

LCM(5, 650) = 650

GCD(5, 650) = ( 5 x 650 ) / 650

= 5 / 650

= 5


Step3:

LCM(5, 955) = 955

GCD(5, 955) = ( 5 x 955 ) / 955

= 5 / 955

= 5


So, Greatest Common Divisor of 180, 965, 650, 955 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 965, 650, 955

Given numbers are 180, 965, 650, 955
The greatest common divisor of numbers 180, 965, 650, 955 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 965, 650, 955 is 5.

FAQs on GCD of 180, 965, 650, 955 Calculator

1. What is the GCD of 180, 965, 650, 955?

GCD of given numbers 180, 965, 650, 955 is 5


2. How to calculate the greatest common divisor of 180, 965, 650, 955?

We can find the highest common divisor of 180, 965, 650, 955 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 180, 965, 650, 955 i.e 5.


3. How can I use the GCD of 180, 965, 650, 955Calculator?

Out the numbers 180, 965, 650, 955 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.