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GCD of 898, 901, 689, 107 Calculator

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


Online GCD Calculator is useful to find the GCD of 898, 901, 689, 107 quickly. Get the easiest ways to solve the greatest common divisor of 898, 901, 689, 107 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 898, 901, 689, 107 with Factoring?

Given Input numbers are 898, 901, 689, 107

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107


GCD of numbers is the greatest common divisor

So, the GCD (898, 901, 689, 107) = 1.

Find GCD of 898, 901, 689, 107 using Prime Factorization

Given numbers are 898, 901, 689, 107

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 901 are 17 x 53

Prime factors of 689 are 13 x 53

Prime factors of 107 are 107

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

Steps to Calculate GCD of 898, 901, 689, 107 using LCM Formula

Given numbers are 898, 901, 689, 107

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

Apply this formula for all numbers.

Step1:

LCM(898, 901) = 809098

GCD(898, 901) = ( 898 x 901 ) / 809098

= 898 / 901

= 898


Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1


So, Greatest Common Divisor of 898, 901, 689, 107 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 898, 901, 689, 107

Given numbers are 898, 901, 689, 107
The greatest common divisor of numbers 898, 901, 689, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 901, 689, 107 is 1.

FAQs on GCD of 898, 901, 689, 107 Calculator

1. What is the GCD of 898, 901, 689, 107?

GCD of given numbers 898, 901, 689, 107 is 1


2. How to calculate the greatest common divisor of 898, 901, 689, 107?

We can find the highest common divisor of 898, 901, 689, 107 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 898, 901, 689, 107 i.e 1.


3. How can I use the GCD of 898, 901, 689, 107Calculator?

Out the numbers 898, 901, 689, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.