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GCD of 124, 518, 998, 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 124, 518, 998, 971 quickly. Get the easiest ways to solve the greatest common divisor of 124, 518, 998, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 124, 518, 998, 971 with Factoring?

Given Input numbers are 124, 518, 998, 971

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 998 :

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

1, 2, 499, 998

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 (124, 518, 998, 971) = 1.

Find GCD of 124, 518, 998, 971 using Prime Factorization

Given numbers are 124, 518, 998, 971

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

Prime factors of 518 are 2 x 7 x 37

Prime factors of 998 are 2 x 499

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 124, 518, 998, 971 using LCM Formula

Given numbers are 124, 518, 998, 971

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

Apply this formula for all numbers.

Step1:

LCM(124, 518) = 32116

GCD(124, 518) = ( 124 x 518 ) / 32116

= 124 / 518

= 124


Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2


Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2


So, Greatest Common Divisor of 124, 518, 998, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 124, 518, 998, 971

Given numbers are 124, 518, 998, 971
The greatest common divisor of numbers 124, 518, 998, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 518, 998, 971 is 1.

FAQs on GCD of 124, 518, 998, 971 Calculator

1. What is the GCD of 124, 518, 998, 971?

GCD of given numbers 124, 518, 998, 971 is 1


2. How to calculate the greatest common divisor of 124, 518, 998, 971?

We can find the highest common divisor of 124, 518, 998, 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 124, 518, 998, 971 i.e 1.


3. How can I use the GCD of 124, 518, 998, 971Calculator?

Out the numbers 124, 518, 998, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.