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GCD of 248, 218, 775, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 248, 218, 775, 998 quickly. Get the easiest ways to solve the greatest common divisor of 248, 218, 775, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 248, 218, 775, 998 with Factoring?

Given Input numbers are 248, 218, 775, 998

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

Divisors of 248 :

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

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (248, 218, 775, 998) = 1.

Find GCD of 248, 218, 775, 998 using Prime Factorization

Given numbers are 248, 218, 775, 998

The list of prime factors of all numbers are

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

Prime factors of 218 are 2 x 109

Prime factors of 775 are 5 x 5 x 31

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 248, 218, 775, 998 using LCM Formula

Given numbers are 248, 218, 775, 998

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

Apply this formula for all numbers.

Step1:

LCM(248, 218) = 27032

GCD(248, 218) = ( 248 x 218 ) / 27032

= 248 / 218

= 248


Step2:

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

= 2 / 775

= 2


Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


So, Greatest Common Divisor of 248, 218, 775, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 248, 218, 775, 998

Given numbers are 248, 218, 775, 998
The greatest common divisor of numbers 248, 218, 775, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 218, 775, 998 is 1.

FAQs on GCD of 248, 218, 775, 998 Calculator

1. What is the GCD of 248, 218, 775, 998?

GCD of given numbers 248, 218, 775, 998 is 1


2. How to calculate the greatest common divisor of 248, 218, 775, 998?

We can find the highest common divisor of 248, 218, 775, 998 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 248, 218, 775, 998 i.e 1.


3. How can I use the GCD of 248, 218, 775, 998Calculator?

Out the numbers 248, 218, 775, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.