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GCD of 965, 355, 240 Calculator

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


Online GCD Calculator is useful to find the GCD of 965, 355, 240 quickly. Get the easiest ways to solve the greatest common divisor of 965, 355, 240 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 965, 355, 240 with Factoring?

Given Input numbers are 965, 355, 240

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

Divisors of 965 :

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

1, 5, 193, 965

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240


GCD of numbers is the greatest common divisor

So, the GCD (965, 355, 240) = 5.

Find GCD of 965, 355, 240 using Prime Factorization

Given numbers are 965, 355, 240

The list of prime factors of all numbers are

Prime factors of 965 are 5 x 193

Prime factors of 355 are 5 x 71

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 51

Therefore, GCD of 965, 355, 240 is 5.

Steps to Calculate GCD of 965, 355, 240 using LCM Formula

Given numbers are 965, 355, 240

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

Apply this formula for all numbers.

Step1:

LCM(965, 355) = 68515

GCD(965, 355) = ( 965 x 355 ) / 68515

= 965 / 355

= 965


Step2:

LCM(5, 240) = 240

GCD(5, 240) = ( 5 x 240 ) / 240

= 5 / 240

= 5


So, Greatest Common Divisor of 965, 355, 240 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 965, 355, 240

Given numbers are 965, 355, 240
The greatest common divisor of numbers 965, 355, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 355, 240 is 5.

FAQs on GCD of 965, 355, 240 Calculator

1. What is the GCD of 965, 355, 240?

GCD of given numbers 965, 355, 240 is 5


2. How to calculate the greatest common divisor of 965, 355, 240?

We can find the highest common divisor of 965, 355, 240 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 965, 355, 240 i.e 5.


3. How can I use the GCD of 965, 355, 240Calculator?

Out the numbers 965, 355, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.