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GCD of 506, 737, 311, 316 Calculator

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


Online GCD Calculator is useful to find the GCD of 506, 737, 311, 316 quickly. Get the easiest ways to solve the greatest common divisor of 506, 737, 311, 316 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 506, 737, 311, 316 with Factoring?

Given Input numbers are 506, 737, 311, 316

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (506, 737, 311, 316) = 1.

Find GCD of 506, 737, 311, 316 using Prime Factorization

Given numbers are 506, 737, 311, 316

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 737 are 11 x 67

Prime factors of 311 are 311

Prime factors of 316 are 2 x 2 x 79

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

Steps to Calculate GCD of 506, 737, 311, 316 using LCM Formula

Given numbers are 506, 737, 311, 316

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

Apply this formula for all numbers.

Step1:

LCM(506, 737) = 33902

GCD(506, 737) = ( 506 x 737 ) / 33902

= 506 / 737

= 506


Step2:

LCM(11, 311) = 3421

GCD(11, 311) = ( 11 x 311 ) / 3421

= 11 / 311

= 11


Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1


So, Greatest Common Divisor of 506, 737, 311, 316 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 506, 737, 311, 316

Given numbers are 506, 737, 311, 316
The greatest common divisor of numbers 506, 737, 311, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 737, 311, 316 is 1.

FAQs on GCD of 506, 737, 311, 316 Calculator

1. What is the GCD of 506, 737, 311, 316?

GCD of given numbers 506, 737, 311, 316 is 1


2. How to calculate the greatest common divisor of 506, 737, 311, 316?

We can find the highest common divisor of 506, 737, 311, 316 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 506, 737, 311, 316 i.e 1.


3. How can I use the GCD of 506, 737, 311, 316Calculator?

Out the numbers 506, 737, 311, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.