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GCD of 506, 372, 742, 773 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, 372, 742, 773 quickly. Get the easiest ways to solve the greatest common divisor of 506, 372, 742, 773 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 506, 372, 742, 773 with Factoring?

Given Input numbers are 506, 372, 742, 773

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 773 :

The positive integer divisors of 773 that completely divides 773 are.

1, 773


GCD of numbers is the greatest common divisor

So, the GCD (506, 372, 742, 773) = 1.

Find GCD of 506, 372, 742, 773 using Prime Factorization

Given numbers are 506, 372, 742, 773

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 742 are 2 x 7 x 53

Prime factors of 773 are 773

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

Steps to Calculate GCD of 506, 372, 742, 773 using LCM Formula

Given numbers are 506, 372, 742, 773

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

Apply this formula for all numbers.

Step1:

LCM(506, 372) = 94116

GCD(506, 372) = ( 506 x 372 ) / 94116

= 506 / 372

= 506


Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2


Step3:

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

= 2 / 773

= 2


So, Greatest Common Divisor of 506, 372, 742, 773 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 506, 372, 742, 773

Given numbers are 506, 372, 742, 773
The greatest common divisor of numbers 506, 372, 742, 773 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 372, 742, 773 is 1.

FAQs on GCD of 506, 372, 742, 773 Calculator

1. What is the GCD of 506, 372, 742, 773?

GCD of given numbers 506, 372, 742, 773 is 1


2. How to calculate the greatest common divisor of 506, 372, 742, 773?

We can find the highest common divisor of 506, 372, 742, 773 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, 372, 742, 773 i.e 1.


3. How can I use the GCD of 506, 372, 742, 773Calculator?

Out the numbers 506, 372, 742, 773 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.