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GCD of 198, 752, 913, 397 Calculator

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


Online GCD Calculator is useful to find the GCD of 198, 752, 913, 397 quickly. Get the easiest ways to solve the greatest common divisor of 198, 752, 913, 397 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 752, 913, 397 with Factoring?

Given Input numbers are 198, 752, 913, 397

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397


GCD of numbers is the greatest common divisor

So, the GCD (198, 752, 913, 397) = 1.

Find GCD of 198, 752, 913, 397 using Prime Factorization

Given numbers are 198, 752, 913, 397

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 913 are 11 x 83

Prime factors of 397 are 397

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

Steps to Calculate GCD of 198, 752, 913, 397 using LCM Formula

Given numbers are 198, 752, 913, 397

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

Apply this formula for all numbers.

Step1:

LCM(198, 752) = 74448

GCD(198, 752) = ( 198 x 752 ) / 74448

= 198 / 752

= 198


Step2:

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

= 2 / 913

= 2


Step3:

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

= 1 / 397

= 1


So, Greatest Common Divisor of 198, 752, 913, 397 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 752, 913, 397

Given numbers are 198, 752, 913, 397
The greatest common divisor of numbers 198, 752, 913, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 752, 913, 397 is 1.

FAQs on GCD of 198, 752, 913, 397 Calculator

1. What is the GCD of 198, 752, 913, 397?

GCD of given numbers 198, 752, 913, 397 is 1


2. How to calculate the greatest common divisor of 198, 752, 913, 397?

We can find the highest common divisor of 198, 752, 913, 397 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 198, 752, 913, 397 i.e 1.


3. How can I use the GCD of 198, 752, 913, 397Calculator?

Out the numbers 198, 752, 913, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.