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GCD of 505, 143, 45, 313 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, 143, 45, 313 quickly. Get the easiest ways to solve the greatest common divisor of 505, 143, 45, 313 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 505, 143, 45, 313 with Factoring?

Given Input numbers are 505, 143, 45, 313

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313


GCD of numbers is the greatest common divisor

So, the GCD (505, 143, 45, 313) = 1.

Find GCD of 505, 143, 45, 313 using Prime Factorization

Given numbers are 505, 143, 45, 313

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 143 are 11 x 13

Prime factors of 45 are 3 x 3 x 5

Prime factors of 313 are 313

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

Steps to Calculate GCD of 505, 143, 45, 313 using LCM Formula

Given numbers are 505, 143, 45, 313

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

Apply this formula for all numbers.

Step1:

LCM(505, 143) = 72215

GCD(505, 143) = ( 505 x 143 ) / 72215

= 505 / 143

= 505


Step2:

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

= 1 / 45

= 1


Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


So, Greatest Common Divisor of 505, 143, 45, 313 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 505, 143, 45, 313

Given numbers are 505, 143, 45, 313
The greatest common divisor of numbers 505, 143, 45, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 143, 45, 313 is 1.

FAQs on GCD of 505, 143, 45, 313 Calculator

1. What is the GCD of 505, 143, 45, 313?

GCD of given numbers 505, 143, 45, 313 is 1


2. How to calculate the greatest common divisor of 505, 143, 45, 313?

We can find the highest common divisor of 505, 143, 45, 313 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, 143, 45, 313 i.e 1.


3. How can I use the GCD of 505, 143, 45, 313Calculator?

Out the numbers 505, 143, 45, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.