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GCD of 518, 400, 953, 771 Calculator

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


Online GCD Calculator is useful to find the GCD of 518, 400, 953, 771 quickly. Get the easiest ways to solve the greatest common divisor of 518, 400, 953, 771 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 518, 400, 953, 771 with Factoring?

Given Input numbers are 518, 400, 953, 771

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

Divisors of 518 :

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

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771


GCD of numbers is the greatest common divisor

So, the GCD (518, 400, 953, 771) = 1.

Find GCD of 518, 400, 953, 771 using Prime Factorization

Given numbers are 518, 400, 953, 771

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 953 are 953

Prime factors of 771 are 3 x 257

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

Steps to Calculate GCD of 518, 400, 953, 771 using LCM Formula

Given numbers are 518, 400, 953, 771

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

Apply this formula for all numbers.

Step1:

LCM(518, 400) = 103600

GCD(518, 400) = ( 518 x 400 ) / 103600

= 518 / 400

= 518


Step2:

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

= 2 / 953

= 2


Step3:

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

= 1 / 771

= 1


So, Greatest Common Divisor of 518, 400, 953, 771 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 518, 400, 953, 771

Given numbers are 518, 400, 953, 771
The greatest common divisor of numbers 518, 400, 953, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 400, 953, 771 is 1.

FAQs on GCD of 518, 400, 953, 771 Calculator

1. What is the GCD of 518, 400, 953, 771?

GCD of given numbers 518, 400, 953, 771 is 1


2. How to calculate the greatest common divisor of 518, 400, 953, 771?

We can find the highest common divisor of 518, 400, 953, 771 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 518, 400, 953, 771 i.e 1.


3. How can I use the GCD of 518, 400, 953, 771Calculator?

Out the numbers 518, 400, 953, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.