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GCD of 398, 767, 352, 896 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, 767, 352, 896 quickly. Get the easiest ways to solve the greatest common divisor of 398, 767, 352, 896 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 767, 352, 896 with Factoring?

Given Input numbers are 398, 767, 352, 896

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 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896


GCD of numbers is the greatest common divisor

So, the GCD (398, 767, 352, 896) = 1.

Find GCD of 398, 767, 352, 896 using Prime Factorization

Given numbers are 398, 767, 352, 896

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 767 are 13 x 59

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 398, 767, 352, 896 using LCM Formula

Given numbers are 398, 767, 352, 896

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

Apply this formula for all numbers.

Step1:

LCM(398, 767) = 305266

GCD(398, 767) = ( 398 x 767 ) / 305266

= 398 / 767

= 398


Step2:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1


Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1


So, Greatest Common Divisor of 398, 767, 352, 896 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 767, 352, 896

Given numbers are 398, 767, 352, 896
The greatest common divisor of numbers 398, 767, 352, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 767, 352, 896 is 1.

FAQs on GCD of 398, 767, 352, 896 Calculator

1. What is the GCD of 398, 767, 352, 896?

GCD of given numbers 398, 767, 352, 896 is 1


2. How to calculate the greatest common divisor of 398, 767, 352, 896?

We can find the highest common divisor of 398, 767, 352, 896 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, 767, 352, 896 i.e 1.


3. How can I use the GCD of 398, 767, 352, 896Calculator?

Out the numbers 398, 767, 352, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.