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GCD of 398, 915, 365, 987 Calculator

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


Online GCD Calculator is useful to find the GCD of 398, 915, 365, 987 quickly. Get the easiest ways to solve the greatest common divisor of 398, 915, 365, 987 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 915, 365, 987 with Factoring?

Given Input numbers are 398, 915, 365, 987

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987


GCD of numbers is the greatest common divisor

So, the GCD (398, 915, 365, 987) = 1.

Find GCD of 398, 915, 365, 987 using Prime Factorization

Given numbers are 398, 915, 365, 987

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 915 are 3 x 5 x 61

Prime factors of 365 are 5 x 73

Prime factors of 987 are 3 x 7 x 47

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

Steps to Calculate GCD of 398, 915, 365, 987 using LCM Formula

Given numbers are 398, 915, 365, 987

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

Apply this formula for all numbers.

Step1:

LCM(398, 915) = 364170

GCD(398, 915) = ( 398 x 915 ) / 364170

= 398 / 915

= 398


Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1


So, Greatest Common Divisor of 398, 915, 365, 987 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 915, 365, 987

Given numbers are 398, 915, 365, 987
The greatest common divisor of numbers 398, 915, 365, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 915, 365, 987 is 1.

FAQs on GCD of 398, 915, 365, 987 Calculator

1. What is the GCD of 398, 915, 365, 987?

GCD of given numbers 398, 915, 365, 987 is 1


2. How to calculate the greatest common divisor of 398, 915, 365, 987?

We can find the highest common divisor of 398, 915, 365, 987 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 398, 915, 365, 987 i.e 1.


3. How can I use the GCD of 398, 915, 365, 987Calculator?

Out the numbers 398, 915, 365, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.