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GCD of 580, 655, 949, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 580, 655, 949, 682 quickly. Get the easiest ways to solve the greatest common divisor of 580, 655, 949, 682 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 655, 949, 682 with Factoring?

Given Input numbers are 580, 655, 949, 682

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

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (580, 655, 949, 682) = 1.

Find GCD of 580, 655, 949, 682 using Prime Factorization

Given numbers are 580, 655, 949, 682

The list of prime factors of all numbers are

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

Prime factors of 655 are 5 x 131

Prime factors of 949 are 13 x 73

Prime factors of 682 are 2 x 11 x 31

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

Steps to Calculate GCD of 580, 655, 949, 682 using LCM Formula

Given numbers are 580, 655, 949, 682

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

Apply this formula for all numbers.

Step1:

LCM(580, 655) = 75980

GCD(580, 655) = ( 580 x 655 ) / 75980

= 580 / 655

= 580


Step2:

LCM(5, 949) = 4745

GCD(5, 949) = ( 5 x 949 ) / 4745

= 5 / 949

= 5


Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1


So, Greatest Common Divisor of 580, 655, 949, 682 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 655, 949, 682

Given numbers are 580, 655, 949, 682
The greatest common divisor of numbers 580, 655, 949, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 655, 949, 682 is 1.

FAQs on GCD of 580, 655, 949, 682 Calculator

1. What is the GCD of 580, 655, 949, 682?

GCD of given numbers 580, 655, 949, 682 is 1


2. How to calculate the greatest common divisor of 580, 655, 949, 682?

We can find the highest common divisor of 580, 655, 949, 682 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 580, 655, 949, 682 i.e 1.


3. How can I use the GCD of 580, 655, 949, 682Calculator?

Out the numbers 580, 655, 949, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.