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GCD of 910, 720, 580 Calculator

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


Online GCD Calculator is useful to find the GCD of 910, 720, 580 quickly. Get the easiest ways to solve the greatest common divisor of 910, 720, 580 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 910, 720, 580 with Factoring?

Given Input numbers are 910, 720, 580

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

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580


GCD of numbers is the greatest common divisor

So, the GCD (910, 720, 580) = 10.

Find GCD of 910, 720, 580 using Prime Factorization

Given numbers are 910, 720, 580

The list of prime factors of all numbers are

Prime factors of 910 are 2 x 5 x 7 x 13

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

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 21 x 51

Therefore, GCD of 910, 720, 580 is 10.

Steps to Calculate GCD of 910, 720, 580 using LCM Formula

Given numbers are 910, 720, 580

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

Apply this formula for all numbers.

Step1:

LCM(910, 720) = 65520

GCD(910, 720) = ( 910 x 720 ) / 65520

= 910 / 720

= 910


Step2:

LCM(10, 580) = 580

GCD(10, 580) = ( 10 x 580 ) / 580

= 10 / 580

= 10


So, Greatest Common Divisor of 910, 720, 580 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 910, 720, 580

Given numbers are 910, 720, 580
The greatest common divisor of numbers 910, 720, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 910, 720, 580 is 10.

FAQs on GCD of 910, 720, 580 Calculator

1. What is the GCD of 910, 720, 580?

GCD of given numbers 910, 720, 580 is 10


2. How to calculate the greatest common divisor of 910, 720, 580?

We can find the highest common divisor of 910, 720, 580 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 910, 720, 580 i.e 10.


3. How can I use the GCD of 910, 720, 580Calculator?

Out the numbers 910, 720, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.