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GCD of 899, 945, 965, 396 Calculator

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


Online GCD Calculator is useful to find the GCD of 899, 945, 965, 396 quickly. Get the easiest ways to solve the greatest common divisor of 899, 945, 965, 396 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 899, 945, 965, 396 with Factoring?

Given Input numbers are 899, 945, 965, 396

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

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 965 :

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

1, 5, 193, 965

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


GCD of numbers is the greatest common divisor

So, the GCD (899, 945, 965, 396) = 1.

Find GCD of 899, 945, 965, 396 using Prime Factorization

Given numbers are 899, 945, 965, 396

The list of prime factors of all numbers are

Prime factors of 899 are 29 x 31

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 965 are 5 x 193

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

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

Steps to Calculate GCD of 899, 945, 965, 396 using LCM Formula

Given numbers are 899, 945, 965, 396

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

Apply this formula for all numbers.

Step1:

LCM(899, 945) = 849555

GCD(899, 945) = ( 899 x 945 ) / 849555

= 899 / 945

= 899


Step2:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1


Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1


So, Greatest Common Divisor of 899, 945, 965, 396 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 899, 945, 965, 396

Given numbers are 899, 945, 965, 396
The greatest common divisor of numbers 899, 945, 965, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 899, 945, 965, 396 is 1.

FAQs on GCD of 899, 945, 965, 396 Calculator

1. What is the GCD of 899, 945, 965, 396?

GCD of given numbers 899, 945, 965, 396 is 1


2. How to calculate the greatest common divisor of 899, 945, 965, 396?

We can find the highest common divisor of 899, 945, 965, 396 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 899, 945, 965, 396 i.e 1.


3. How can I use the GCD of 899, 945, 965, 396Calculator?

Out the numbers 899, 945, 965, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.