GCD of 676, 800, 549, 289 Calculator

Given Input numbers are 676, 800, 549, 289

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (676, 800, 549, 289) = 1.

Given numbers are 676, 800, 549, 289

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 549 are 3 x 3 x 61

Prime factors of 289 are 17 x 17

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

Given numbers are 676, 800, 549, 289

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

Apply this formula for all numbers.

Step1:

LCM(676, 800) = 135200

GCD(676, 800) = ( 676 x 800 ) / 135200

= 676 / 800

= 676

Step2:

LCM(4, 549) = 2196

GCD(4, 549) = ( 4 x 549 ) / 2196

= 4 / 549

= 4

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 676, 800, 549, 289 is 1

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• GCD of 558, 221, 273, 275
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Given numbers are 676, 800, 549, 289
The greatest common divisor of numbers 676, 800, 549, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 800, 549, 289 is 1.

1. What is the GCD of 676, 800, 549, 289?

GCD of given numbers 676, 800, 549, 289 is 1

2. How to calculate the greatest common divisor of 676, 800, 549, 289?

We can find the highest common divisor of 676, 800, 549, 289 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 676, 800, 549, 289 i.e 1.

3. How can I use the GCD of 676, 800, 549, 289Calculator?

Out the numbers 676, 800, 549, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.