GCD of 289, 680, 252, 355 Calculator

Given Input numbers are 289, 680, 252, 355

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (289, 680, 252, 355) = 1.

Given numbers are 289, 680, 252, 355

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 355 are 5 x 71

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

Given numbers are 289, 680, 252, 355

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

Apply this formula for all numbers.

Step1:

LCM(289, 680) = 11560

GCD(289, 680) = ( 289 x 680 ) / 11560

= 289 / 680

= 289

Step2:

LCM(17, 252) = 4284

GCD(17, 252) = ( 17 x 252 ) / 4284

= 17 / 252

= 17

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 289, 680, 252, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 857, 536, 143
• GCD of 239, 700, 925, 973
• GCD of 965, 897, 228, 652
• GCD of 330, 516, 547, 260
• GCD of 879, 453, 503, 580

Given numbers are 289, 680, 252, 355
The greatest common divisor of numbers 289, 680, 252, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 680, 252, 355 is 1.

1. What is the GCD of 289, 680, 252, 355?

GCD of given numbers 289, 680, 252, 355 is 1

2. How to calculate the greatest common divisor of 289, 680, 252, 355?

We can find the highest common divisor of 289, 680, 252, 355 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, 680, 252, 355 i.e 1.

3. How can I use the GCD of 289, 680, 252, 355Calculator?

Out the numbers 289, 680, 252, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.