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GCD of 487, 629, 731, 748 Calculator

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


Online GCD Calculator is useful to find the GCD of 487, 629, 731, 748 quickly. Get the easiest ways to solve the greatest common divisor of 487, 629, 731, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 487, 629, 731, 748 with Factoring?

Given Input numbers are 487, 629, 731, 748

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

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (487, 629, 731, 748) = 1.

Find GCD of 487, 629, 731, 748 using Prime Factorization

Given numbers are 487, 629, 731, 748

The list of prime factors of all numbers are

Prime factors of 487 are 487

Prime factors of 629 are 17 x 37

Prime factors of 731 are 17 x 43

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 487, 629, 731, 748 using LCM Formula

Given numbers are 487, 629, 731, 748

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

Apply this formula for all numbers.

Step1:

LCM(487, 629) = 306323

GCD(487, 629) = ( 487 x 629 ) / 306323

= 487 / 629

= 487


Step2:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 487, 629, 731, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 487, 629, 731, 748

Given numbers are 487, 629, 731, 748
The greatest common divisor of numbers 487, 629, 731, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 487, 629, 731, 748 is 1.

FAQs on GCD of 487, 629, 731, 748 Calculator

1. What is the GCD of 487, 629, 731, 748?

GCD of given numbers 487, 629, 731, 748 is 1


2. How to calculate the greatest common divisor of 487, 629, 731, 748?

We can find the highest common divisor of 487, 629, 731, 748 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 487, 629, 731, 748 i.e 1.


3. How can I use the GCD of 487, 629, 731, 748Calculator?

Out the numbers 487, 629, 731, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.