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GCD of 356, 398, 892, 381 Calculator

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


Online GCD Calculator is useful to find the GCD of 356, 398, 892, 381 quickly. Get the easiest ways to solve the greatest common divisor of 356, 398, 892, 381 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 356, 398, 892, 381 with Factoring?

Given Input numbers are 356, 398, 892, 381

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381


GCD of numbers is the greatest common divisor

So, the GCD (356, 398, 892, 381) = 1.

Find GCD of 356, 398, 892, 381 using Prime Factorization

Given numbers are 356, 398, 892, 381

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 398 are 2 x 199

Prime factors of 892 are 2 x 2 x 223

Prime factors of 381 are 3 x 127

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

Steps to Calculate GCD of 356, 398, 892, 381 using LCM Formula

Given numbers are 356, 398, 892, 381

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

Apply this formula for all numbers.

Step1:

LCM(356, 398) = 70844

GCD(356, 398) = ( 356 x 398 ) / 70844

= 356 / 398

= 356


Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2


Step3:

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

= 2 / 381

= 2


So, Greatest Common Divisor of 356, 398, 892, 381 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 356, 398, 892, 381

Given numbers are 356, 398, 892, 381
The greatest common divisor of numbers 356, 398, 892, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 398, 892, 381 is 1.

FAQs on GCD of 356, 398, 892, 381 Calculator

1. What is the GCD of 356, 398, 892, 381?

GCD of given numbers 356, 398, 892, 381 is 1


2. How to calculate the greatest common divisor of 356, 398, 892, 381?

We can find the highest common divisor of 356, 398, 892, 381 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 356, 398, 892, 381 i.e 1.


3. How can I use the GCD of 356, 398, 892, 381Calculator?

Out the numbers 356, 398, 892, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.