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GCD of 160, 784, 809, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 160, 784, 809, 984 quickly. Get the easiest ways to solve the greatest common divisor of 160, 784, 809, 984 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 160, 784, 809, 984 with Factoring?

Given Input numbers are 160, 784, 809, 984

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (160, 784, 809, 984) = 1.

Find GCD of 160, 784, 809, 984 using Prime Factorization

Given numbers are 160, 784, 809, 984

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 809 are 809

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Steps to Calculate GCD of 160, 784, 809, 984 using LCM Formula

Given numbers are 160, 784, 809, 984

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

Apply this formula for all numbers.

Step1:

LCM(160, 784) = 7840

GCD(160, 784) = ( 160 x 784 ) / 7840

= 160 / 784

= 160


Step2:

LCM(16, 809) = 12944

GCD(16, 809) = ( 16 x 809 ) / 12944

= 16 / 809

= 16


Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1


So, Greatest Common Divisor of 160, 784, 809, 984 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 160, 784, 809, 984

Given numbers are 160, 784, 809, 984
The greatest common divisor of numbers 160, 784, 809, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 784, 809, 984 is 1.

FAQs on GCD of 160, 784, 809, 984 Calculator

1. What is the GCD of 160, 784, 809, 984?

GCD of given numbers 160, 784, 809, 984 is 1


2. How to calculate the greatest common divisor of 160, 784, 809, 984?

We can find the highest common divisor of 160, 784, 809, 984 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 160, 784, 809, 984 i.e 1.


3. How can I use the GCD of 160, 784, 809, 984Calculator?

Out the numbers 160, 784, 809, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.