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GCD of 224, 862, 109, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 224, 862, 109, 720 quickly. Get the easiest ways to solve the greatest common divisor of 224, 862, 109, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 224, 862, 109, 720 with Factoring?

Given Input numbers are 224, 862, 109, 720

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 109 :

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

1, 109

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (224, 862, 109, 720) = 1.

Find GCD of 224, 862, 109, 720 using Prime Factorization

Given numbers are 224, 862, 109, 720

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 862 are 2 x 431

Prime factors of 109 are 109

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 224, 862, 109, 720 using LCM Formula

Given numbers are 224, 862, 109, 720

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

Apply this formula for all numbers.

Step1:

LCM(224, 862) = 96544

GCD(224, 862) = ( 224 x 862 ) / 96544

= 224 / 862

= 224


Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 224, 862, 109, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 224, 862, 109, 720

Given numbers are 224, 862, 109, 720
The greatest common divisor of numbers 224, 862, 109, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 862, 109, 720 is 1.

FAQs on GCD of 224, 862, 109, 720 Calculator

1. What is the GCD of 224, 862, 109, 720?

GCD of given numbers 224, 862, 109, 720 is 1


2. How to calculate the greatest common divisor of 224, 862, 109, 720?

We can find the highest common divisor of 224, 862, 109, 720 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 224, 862, 109, 720 i.e 1.


3. How can I use the GCD of 224, 862, 109, 720Calculator?

Out the numbers 224, 862, 109, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.