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GCD of 720, 396, 965, 398 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 396, 965, 398 quickly. Get the easiest ways to solve the greatest common divisor of 720, 396, 965, 398 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 396, 965, 398 with Factoring?

Given Input numbers are 720, 396, 965, 398

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 965 :

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

1, 5, 193, 965

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398


GCD of numbers is the greatest common divisor

So, the GCD (720, 396, 965, 398) = 1.

Find GCD of 720, 396, 965, 398 using Prime Factorization

Given numbers are 720, 396, 965, 398

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 965 are 5 x 193

Prime factors of 398 are 2 x 199

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

Steps to Calculate GCD of 720, 396, 965, 398 using LCM Formula

Given numbers are 720, 396, 965, 398

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

Apply this formula for all numbers.

Step1:

LCM(720, 396) = 7920

GCD(720, 396) = ( 720 x 396 ) / 7920

= 720 / 396

= 720


Step2:

LCM(36, 965) = 34740

GCD(36, 965) = ( 36 x 965 ) / 34740

= 36 / 965

= 36


Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


So, Greatest Common Divisor of 720, 396, 965, 398 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 396, 965, 398

Given numbers are 720, 396, 965, 398
The greatest common divisor of numbers 720, 396, 965, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 396, 965, 398 is 1.

FAQs on GCD of 720, 396, 965, 398 Calculator

1. What is the GCD of 720, 396, 965, 398?

GCD of given numbers 720, 396, 965, 398 is 1


2. How to calculate the greatest common divisor of 720, 396, 965, 398?

We can find the highest common divisor of 720, 396, 965, 398 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 720, 396, 965, 398 i.e 1.


3. How can I use the GCD of 720, 396, 965, 398Calculator?

Out the numbers 720, 396, 965, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.