GCD of 290, 704, 684, 363 Calculator

Given Input numbers are 290, 704, 684, 363

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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 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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (290, 704, 684, 363) = 1.

Given numbers are 290, 704, 684, 363

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

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

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

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 290, 704, 684, 363

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

Apply this formula for all numbers.

Step1:

LCM(290, 704) = 102080

GCD(290, 704) = ( 290 x 704 ) / 102080

= 290 / 704

= 290

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2

So, Greatest Common Divisor of 290, 704, 684, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 158, 660, 820
• GCD of 144, 969, 511, 363
• GCD of 956, 620, 469, 723
• GCD of 638, 724, 115, 154
• GCD of 548, 572, 577, 495

Given numbers are 290, 704, 684, 363
The greatest common divisor of numbers 290, 704, 684, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 704, 684, 363 is 1.

1. What is the GCD of 290, 704, 684, 363?

GCD of given numbers 290, 704, 684, 363 is 1

2. How to calculate the greatest common divisor of 290, 704, 684, 363?

We can find the highest common divisor of 290, 704, 684, 363 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 290, 704, 684, 363 i.e 1.

3. How can I use the GCD of 290, 704, 684, 363Calculator?

Out the numbers 290, 704, 684, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.