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GCD of 496, 220, 791, 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 496, 220, 791, 984 quickly. Get the easiest ways to solve the greatest common divisor of 496, 220, 791, 984 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 220, 791, 984 with Factoring?

Given Input numbers are 496, 220, 791, 984

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

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 (496, 220, 791, 984) = 1.

Find GCD of 496, 220, 791, 984 using Prime Factorization

Given numbers are 496, 220, 791, 984

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 791 are 7 x 113

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 496, 220, 791, 984 using LCM Formula

Given numbers are 496, 220, 791, 984

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

Apply this formula for all numbers.

Step1:

LCM(496, 220) = 27280

GCD(496, 220) = ( 496 x 220 ) / 27280

= 496 / 220

= 496


Step2:

LCM(4, 791) = 3164

GCD(4, 791) = ( 4 x 791 ) / 3164

= 4 / 791

= 4


Step3:

LCM(1, 984) = 984

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

= 1 / 984

= 1


So, Greatest Common Divisor of 496, 220, 791, 984 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 220, 791, 984

Given numbers are 496, 220, 791, 984
The greatest common divisor of numbers 496, 220, 791, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 220, 791, 984 is 1.

FAQs on GCD of 496, 220, 791, 984 Calculator

1. What is the GCD of 496, 220, 791, 984?

GCD of given numbers 496, 220, 791, 984 is 1


2. How to calculate the greatest common divisor of 496, 220, 791, 984?

We can find the highest common divisor of 496, 220, 791, 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 496, 220, 791, 984 i.e 1.


3. How can I use the GCD of 496, 220, 791, 984Calculator?

Out the numbers 496, 220, 791, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.