GCD of 289, 704, 949, 684 Calculator

Given Input numbers are 289, 704, 949, 684

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

Divisors of 289 :

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

1, 17, 289

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 949 :

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

1, 13, 73, 949

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (289, 704, 949, 684) = 1.

Given numbers are 289, 704, 949, 684

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

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

Prime factors of 949 are 13 x 73

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 289, 704, 949, 684

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

Apply this formula for all numbers.

Step1:

LCM(289, 704) = 203456

GCD(289, 704) = ( 289 x 704 ) / 203456

= 289 / 704

= 289

Step2:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 289, 704, 949, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 188, 347, 338
• GCD of 363, 441, 497, 942
• GCD of 350, 137, 265, 278
• GCD of 166, 406, 753, 206
• GCD of 644, 957, 391, 234

Given numbers are 289, 704, 949, 684
The greatest common divisor of numbers 289, 704, 949, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 704, 949, 684 is 1.

1. What is the GCD of 289, 704, 949, 684?

GCD of given numbers 289, 704, 949, 684 is 1

2. How to calculate the greatest common divisor of 289, 704, 949, 684?

We can find the highest common divisor of 289, 704, 949, 684 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 289, 704, 949, 684 i.e 1.

3. How can I use the GCD of 289, 704, 949, 684Calculator?

Out the numbers 289, 704, 949, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.