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GCD of 272, 288, 650, 965 Calculator

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


Online GCD Calculator is useful to find the GCD of 272, 288, 650, 965 quickly. Get the easiest ways to solve the greatest common divisor of 272, 288, 650, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 288, 650, 965 with Factoring?

Given Input numbers are 272, 288, 650, 965

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 965 :

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

1, 5, 193, 965


GCD of numbers is the greatest common divisor

So, the GCD (272, 288, 650, 965) = 1.

Find GCD of 272, 288, 650, 965 using Prime Factorization

Given numbers are 272, 288, 650, 965

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 965 are 5 x 193

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

Steps to Calculate GCD of 272, 288, 650, 965 using LCM Formula

Given numbers are 272, 288, 650, 965

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

Apply this formula for all numbers.

Step1:

LCM(272, 288) = 4896

GCD(272, 288) = ( 272 x 288 ) / 4896

= 272 / 288

= 272


Step2:

LCM(16, 650) = 5200

GCD(16, 650) = ( 16 x 650 ) / 5200

= 16 / 650

= 16


Step3:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2


So, Greatest Common Divisor of 272, 288, 650, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 288, 650, 965

Given numbers are 272, 288, 650, 965
The greatest common divisor of numbers 272, 288, 650, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 288, 650, 965 is 1.

FAQs on GCD of 272, 288, 650, 965 Calculator

1. What is the GCD of 272, 288, 650, 965?

GCD of given numbers 272, 288, 650, 965 is 1


2. How to calculate the greatest common divisor of 272, 288, 650, 965?

We can find the highest common divisor of 272, 288, 650, 965 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 272, 288, 650, 965 i.e 1.


3. How can I use the GCD of 272, 288, 650, 965Calculator?

Out the numbers 272, 288, 650, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.