GCD of 253, 704, 289, 721 Calculator

Given Input numbers are 253, 704, 289, 721

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 289 :

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

1, 17, 289

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (253, 704, 289, 721) = 1.

Given numbers are 253, 704, 289, 721

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 289 are 17 x 17

Prime factors of 721 are 7 x 103

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

Given numbers are 253, 704, 289, 721

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

Apply this formula for all numbers.

Step1:

LCM(253, 704) = 16192

GCD(253, 704) = ( 253 x 704 ) / 16192

= 253 / 704

= 253

Step2:

LCM(11, 289) = 3179

GCD(11, 289) = ( 11 x 289 ) / 3179

= 11 / 289

= 11

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 253, 704, 289, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 883, 221, 235
• GCD of 886, 273, 206, 368
• GCD of 249, 856, 429, 539
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• GCD of 905, 616, 693, 703

Given numbers are 253, 704, 289, 721
The greatest common divisor of numbers 253, 704, 289, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 704, 289, 721 is 1.

1. What is the GCD of 253, 704, 289, 721?

GCD of given numbers 253, 704, 289, 721 is 1

2. How to calculate the greatest common divisor of 253, 704, 289, 721?

We can find the highest common divisor of 253, 704, 289, 721 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 253, 704, 289, 721 i.e 1.

3. How can I use the GCD of 253, 704, 289, 721Calculator?

Out the numbers 253, 704, 289, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.