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GCD of 382, 258, 248, 987 Calculator

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


Online GCD Calculator is useful to find the GCD of 382, 258, 248, 987 quickly. Get the easiest ways to solve the greatest common divisor of 382, 258, 248, 987 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 382, 258, 248, 987 with Factoring?

Given Input numbers are 382, 258, 248, 987

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987


GCD of numbers is the greatest common divisor

So, the GCD (382, 258, 248, 987) = 1.

Find GCD of 382, 258, 248, 987 using Prime Factorization

Given numbers are 382, 258, 248, 987

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 258 are 2 x 3 x 43

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 987 are 3 x 7 x 47

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

Steps to Calculate GCD of 382, 258, 248, 987 using LCM Formula

Given numbers are 382, 258, 248, 987

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

Apply this formula for all numbers.

Step1:

LCM(382, 258) = 49278

GCD(382, 258) = ( 382 x 258 ) / 49278

= 382 / 258

= 382


Step2:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2


Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2


So, Greatest Common Divisor of 382, 258, 248, 987 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 382, 258, 248, 987

Given numbers are 382, 258, 248, 987
The greatest common divisor of numbers 382, 258, 248, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 258, 248, 987 is 1.

FAQs on GCD of 382, 258, 248, 987 Calculator

1. What is the GCD of 382, 258, 248, 987?

GCD of given numbers 382, 258, 248, 987 is 1


2. How to calculate the greatest common divisor of 382, 258, 248, 987?

We can find the highest common divisor of 382, 258, 248, 987 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 382, 258, 248, 987 i.e 1.


3. How can I use the GCD of 382, 258, 248, 987Calculator?

Out the numbers 382, 258, 248, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.