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GCD of 748, 897, 489, 472 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 897, 489, 472 quickly. Get the easiest ways to solve the greatest common divisor of 748, 897, 489, 472 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 897, 489, 472 with Factoring?

Given Input numbers are 748, 897, 489, 472

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

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472


GCD of numbers is the greatest common divisor

So, the GCD (748, 897, 489, 472) = 1.

Find GCD of 748, 897, 489, 472 using Prime Factorization

Given numbers are 748, 897, 489, 472

The list of prime factors of all numbers are

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

Prime factors of 897 are 3 x 13 x 23

Prime factors of 489 are 3 x 163

Prime factors of 472 are 2 x 2 x 2 x 59

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

Steps to Calculate GCD of 748, 897, 489, 472 using LCM Formula

Given numbers are 748, 897, 489, 472

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

Apply this formula for all numbers.

Step1:

LCM(748, 897) = 670956

GCD(748, 897) = ( 748 x 897 ) / 670956

= 748 / 897

= 748


Step2:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1


Step3:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1


So, Greatest Common Divisor of 748, 897, 489, 472 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 897, 489, 472

Given numbers are 748, 897, 489, 472
The greatest common divisor of numbers 748, 897, 489, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 897, 489, 472 is 1.

FAQs on GCD of 748, 897, 489, 472 Calculator

1. What is the GCD of 748, 897, 489, 472?

GCD of given numbers 748, 897, 489, 472 is 1


2. How to calculate the greatest common divisor of 748, 897, 489, 472?

We can find the highest common divisor of 748, 897, 489, 472 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 748, 897, 489, 472 i.e 1.


3. How can I use the GCD of 748, 897, 489, 472Calculator?

Out the numbers 748, 897, 489, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.