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GCD of 309, 400, 958, 332 Calculator

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


Online GCD Calculator is useful to find the GCD of 309, 400, 958, 332 quickly. Get the easiest ways to solve the greatest common divisor of 309, 400, 958, 332 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 400, 958, 332 with Factoring?

Given Input numbers are 309, 400, 958, 332

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332


GCD of numbers is the greatest common divisor

So, the GCD (309, 400, 958, 332) = 1.

Find GCD of 309, 400, 958, 332 using Prime Factorization

Given numbers are 309, 400, 958, 332

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 958 are 2 x 479

Prime factors of 332 are 2 x 2 x 83

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

Steps to Calculate GCD of 309, 400, 958, 332 using LCM Formula

Given numbers are 309, 400, 958, 332

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

Apply this formula for all numbers.

Step1:

LCM(309, 400) = 123600

GCD(309, 400) = ( 309 x 400 ) / 123600

= 309 / 400

= 309


Step2:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1


Step3:

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

= 1 / 332

= 1


So, Greatest Common Divisor of 309, 400, 958, 332 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 309, 400, 958, 332

Given numbers are 309, 400, 958, 332
The greatest common divisor of numbers 309, 400, 958, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 400, 958, 332 is 1.

FAQs on GCD of 309, 400, 958, 332 Calculator

1. What is the GCD of 309, 400, 958, 332?

GCD of given numbers 309, 400, 958, 332 is 1


2. How to calculate the greatest common divisor of 309, 400, 958, 332?

We can find the highest common divisor of 309, 400, 958, 332 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 309, 400, 958, 332 i.e 1.


3. How can I use the GCD of 309, 400, 958, 332Calculator?

Out the numbers 309, 400, 958, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.