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GCD of 105, 848, 99 Calculator

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


Online GCD Calculator is useful to find the GCD of 105, 848, 99 quickly. Get the easiest ways to solve the greatest common divisor of 105, 848, 99 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 105, 848, 99 with Factoring?

Given Input numbers are 105, 848, 99

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99


GCD of numbers is the greatest common divisor

So, the GCD (105, 848, 99) = 1.

Find GCD of 105, 848, 99 using Prime Factorization

Given numbers are 105, 848, 99

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 99 are 3 x 3 x 11

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

Steps to Calculate GCD of 105, 848, 99 using LCM Formula

Given numbers are 105, 848, 99

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

Apply this formula for all numbers.

Step1:

LCM(105, 848) = 89040

GCD(105, 848) = ( 105 x 848 ) / 89040

= 105 / 848

= 105


Step2:

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

= 1 / 99

= 1


So, Greatest Common Divisor of 105, 848, 99 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 105, 848, 99

Given numbers are 105, 848, 99
The greatest common divisor of numbers 105, 848, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 848, 99 is 1.

FAQs on GCD of 105, 848, 99 Calculator

1. What is the GCD of 105, 848, 99?

GCD of given numbers 105, 848, 99 is 1


2. How to calculate the greatest common divisor of 105, 848, 99?

We can find the highest common divisor of 105, 848, 99 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 105, 848, 99 i.e 1.


3. How can I use the GCD of 105, 848, 99Calculator?

Out the numbers 105, 848, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.