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GCD of 100, 103, 375, 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 100, 103, 375, 398 quickly. Get the easiest ways to solve the greatest common divisor of 100, 103, 375, 398 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 103, 375, 398 with Factoring?

Given Input numbers are 100, 103, 375, 398

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 (100, 103, 375, 398) = 1.

Find GCD of 100, 103, 375, 398 using Prime Factorization

Given numbers are 100, 103, 375, 398

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 103 are 103

Prime factors of 375 are 3 x 5 x 5 x 5

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 100, 103, 375, 398 using LCM Formula

Given numbers are 100, 103, 375, 398

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

Apply this formula for all numbers.

Step1:

LCM(100, 103) = 10300

GCD(100, 103) = ( 100 x 103 ) / 10300

= 100 / 103

= 100


Step2:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1


Step3:

LCM(1, 398) = 398

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

= 1 / 398

= 1


So, Greatest Common Divisor of 100, 103, 375, 398 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 100, 103, 375, 398

Given numbers are 100, 103, 375, 398
The greatest common divisor of numbers 100, 103, 375, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 103, 375, 398 is 1.

FAQs on GCD of 100, 103, 375, 398 Calculator

1. What is the GCD of 100, 103, 375, 398?

GCD of given numbers 100, 103, 375, 398 is 1


2. How to calculate the greatest common divisor of 100, 103, 375, 398?

We can find the highest common divisor of 100, 103, 375, 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 100, 103, 375, 398 i.e 1.


3. How can I use the GCD of 100, 103, 375, 398Calculator?

Out the numbers 100, 103, 375, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.