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GCD of 720, 998, 109, 895 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 998, 109, 895 quickly. Get the easiest ways to solve the greatest common divisor of 720, 998, 109, 895 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 998, 109, 895 with Factoring?

Given Input numbers are 720, 998, 109, 895

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

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 895 :

The positive integer divisors of 895 that completely divides 895 are.

1, 5, 179, 895


GCD of numbers is the greatest common divisor

So, the GCD (720, 998, 109, 895) = 1.

Find GCD of 720, 998, 109, 895 using Prime Factorization

Given numbers are 720, 998, 109, 895

The list of prime factors of all numbers are

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

Prime factors of 998 are 2 x 499

Prime factors of 109 are 109

Prime factors of 895 are 5 x 179

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

Steps to Calculate GCD of 720, 998, 109, 895 using LCM Formula

Given numbers are 720, 998, 109, 895

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

Apply this formula for all numbers.

Step1:

LCM(720, 998) = 359280

GCD(720, 998) = ( 720 x 998 ) / 359280

= 720 / 998

= 720


Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2


Step3:

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

= 1 / 895

= 1


So, Greatest Common Divisor of 720, 998, 109, 895 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 998, 109, 895

Given numbers are 720, 998, 109, 895
The greatest common divisor of numbers 720, 998, 109, 895 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 998, 109, 895 is 1.

FAQs on GCD of 720, 998, 109, 895 Calculator

1. What is the GCD of 720, 998, 109, 895?

GCD of given numbers 720, 998, 109, 895 is 1


2. How to calculate the greatest common divisor of 720, 998, 109, 895?

We can find the highest common divisor of 720, 998, 109, 895 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 720, 998, 109, 895 i.e 1.


3. How can I use the GCD of 720, 998, 109, 895Calculator?

Out the numbers 720, 998, 109, 895 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.