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GCD of 897, 254, 492, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 254, 492, 720 quickly. Get the easiest ways to solve the greatest common divisor of 897, 254, 492, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 254, 492, 720 with Factoring?

Given Input numbers are 897, 254, 492, 720

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

Divisors of 897 :

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

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

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (897, 254, 492, 720) = 1.

Find GCD of 897, 254, 492, 720 using Prime Factorization

Given numbers are 897, 254, 492, 720

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 254 are 2 x 127

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 897, 254, 492, 720 using LCM Formula

Given numbers are 897, 254, 492, 720

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

Apply this formula for all numbers.

Step1:

LCM(897, 254) = 227838

GCD(897, 254) = ( 897 x 254 ) / 227838

= 897 / 254

= 897


Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 897, 254, 492, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 254, 492, 720

Given numbers are 897, 254, 492, 720
The greatest common divisor of numbers 897, 254, 492, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 254, 492, 720 is 1.

FAQs on GCD of 897, 254, 492, 720 Calculator

1. What is the GCD of 897, 254, 492, 720?

GCD of given numbers 897, 254, 492, 720 is 1


2. How to calculate the greatest common divisor of 897, 254, 492, 720?

We can find the highest common divisor of 897, 254, 492, 720 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 897, 254, 492, 720 i.e 1.


3. How can I use the GCD of 897, 254, 492, 720Calculator?

Out the numbers 897, 254, 492, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.