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GCD of 398, 149, 984, 772 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, 149, 984, 772 quickly. Get the easiest ways to solve the greatest common divisor of 398, 149, 984, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 149, 984, 772 with Factoring?

Given Input numbers are 398, 149, 984, 772

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (398, 149, 984, 772) = 1.

Find GCD of 398, 149, 984, 772 using Prime Factorization

Given numbers are 398, 149, 984, 772

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 149 are 149

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 398, 149, 984, 772 using LCM Formula

Given numbers are 398, 149, 984, 772

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

Apply this formula for all numbers.

Step1:

LCM(398, 149) = 59302

GCD(398, 149) = ( 398 x 149 ) / 59302

= 398 / 149

= 398


Step2:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1


Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 398, 149, 984, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 149, 984, 772

Given numbers are 398, 149, 984, 772
The greatest common divisor of numbers 398, 149, 984, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 149, 984, 772 is 1.

FAQs on GCD of 398, 149, 984, 772 Calculator

1. What is the GCD of 398, 149, 984, 772?

GCD of given numbers 398, 149, 984, 772 is 1


2. How to calculate the greatest common divisor of 398, 149, 984, 772?

We can find the highest common divisor of 398, 149, 984, 772 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, 149, 984, 772 i.e 1.


3. How can I use the GCD of 398, 149, 984, 772Calculator?

Out the numbers 398, 149, 984, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.