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GCD of 901, 109, 384, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 901, 109, 384, 820 quickly. Get the easiest ways to solve the greatest common divisor of 901, 109, 384, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 901, 109, 384, 820 with Factoring?

Given Input numbers are 901, 109, 384, 820

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

Divisors of 901 :

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

1, 17, 53, 901

Divisors of 109 :

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

1, 109

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (901, 109, 384, 820) = 1.

Find GCD of 901, 109, 384, 820 using Prime Factorization

Given numbers are 901, 109, 384, 820

The list of prime factors of all numbers are

Prime factors of 901 are 17 x 53

Prime factors of 109 are 109

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 901, 109, 384, 820 using LCM Formula

Given numbers are 901, 109, 384, 820

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

Apply this formula for all numbers.

Step1:

LCM(901, 109) = 98209

GCD(901, 109) = ( 901 x 109 ) / 98209

= 901 / 109

= 901


Step2:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 901, 109, 384, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 901, 109, 384, 820

Given numbers are 901, 109, 384, 820
The greatest common divisor of numbers 901, 109, 384, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 109, 384, 820 is 1.

FAQs on GCD of 901, 109, 384, 820 Calculator

1. What is the GCD of 901, 109, 384, 820?

GCD of given numbers 901, 109, 384, 820 is 1


2. How to calculate the greatest common divisor of 901, 109, 384, 820?

We can find the highest common divisor of 901, 109, 384, 820 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 901, 109, 384, 820 i.e 1.


3. How can I use the GCD of 901, 109, 384, 820Calculator?

Out the numbers 901, 109, 384, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.