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GCD of 290, 508, 241, 971 Calculator

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


Online GCD Calculator is useful to find the GCD of 290, 508, 241, 971 quickly. Get the easiest ways to solve the greatest common divisor of 290, 508, 241, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 290, 508, 241, 971 with Factoring?

Given Input numbers are 290, 508, 241, 971

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971


GCD of numbers is the greatest common divisor

So, the GCD (290, 508, 241, 971) = 1.

Find GCD of 290, 508, 241, 971 using Prime Factorization

Given numbers are 290, 508, 241, 971

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 508 are 2 x 2 x 127

Prime factors of 241 are 241

Prime factors of 971 are 971

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

Steps to Calculate GCD of 290, 508, 241, 971 using LCM Formula

Given numbers are 290, 508, 241, 971

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

Apply this formula for all numbers.

Step1:

LCM(290, 508) = 73660

GCD(290, 508) = ( 290 x 508 ) / 73660

= 290 / 508

= 290


Step2:

LCM(2, 241) = 482

GCD(2, 241) = ( 2 x 241 ) / 482

= 2 / 241

= 2


Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


So, Greatest Common Divisor of 290, 508, 241, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 290, 508, 241, 971

Given numbers are 290, 508, 241, 971
The greatest common divisor of numbers 290, 508, 241, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 508, 241, 971 is 1.

FAQs on GCD of 290, 508, 241, 971 Calculator

1. What is the GCD of 290, 508, 241, 971?

GCD of given numbers 290, 508, 241, 971 is 1


2. How to calculate the greatest common divisor of 290, 508, 241, 971?

We can find the highest common divisor of 290, 508, 241, 971 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 290, 508, 241, 971 i.e 1.


3. How can I use the GCD of 290, 508, 241, 971Calculator?

Out the numbers 290, 508, 241, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.