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GCD of 505, 464, 961, 133 Calculator

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


Online GCD Calculator is useful to find the GCD of 505, 464, 961, 133 quickly. Get the easiest ways to solve the greatest common divisor of 505, 464, 961, 133 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 505, 464, 961, 133 with Factoring?

Given Input numbers are 505, 464, 961, 133

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133


GCD of numbers is the greatest common divisor

So, the GCD (505, 464, 961, 133) = 1.

Find GCD of 505, 464, 961, 133 using Prime Factorization

Given numbers are 505, 464, 961, 133

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 961 are 31 x 31

Prime factors of 133 are 7 x 19

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

Steps to Calculate GCD of 505, 464, 961, 133 using LCM Formula

Given numbers are 505, 464, 961, 133

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

Apply this formula for all numbers.

Step1:

LCM(505, 464) = 234320

GCD(505, 464) = ( 505 x 464 ) / 234320

= 505 / 464

= 505


Step2:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


Step3:

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

= 1 / 133

= 1


So, Greatest Common Divisor of 505, 464, 961, 133 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 505, 464, 961, 133

Given numbers are 505, 464, 961, 133
The greatest common divisor of numbers 505, 464, 961, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 464, 961, 133 is 1.

FAQs on GCD of 505, 464, 961, 133 Calculator

1. What is the GCD of 505, 464, 961, 133?

GCD of given numbers 505, 464, 961, 133 is 1


2. How to calculate the greatest common divisor of 505, 464, 961, 133?

We can find the highest common divisor of 505, 464, 961, 133 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 505, 464, 961, 133 i.e 1.


3. How can I use the GCD of 505, 464, 961, 133Calculator?

Out the numbers 505, 464, 961, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.