GCD of 680, 144, 221, 270 Calculator

Given Input numbers are 680, 144, 221, 270

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

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (680, 144, 221, 270) = 1.

Given numbers are 680, 144, 221, 270

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 221 are 13 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 680, 144, 221, 270

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

Apply this formula for all numbers.

Step1:

LCM(680, 144) = 12240

GCD(680, 144) = ( 680 x 144 ) / 12240

= 680 / 144

= 680

Step2:

LCM(8, 221) = 1768

GCD(8, 221) = ( 8 x 221 ) / 1768

= 8 / 221

= 8

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 680, 144, 221, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 507, 237, 319
• GCD of 601, 279, 189, 242
• GCD of 929, 444, 366, 241
• GCD of 944, 317, 747, 472
• GCD of 942, 529, 638, 431

Given numbers are 680, 144, 221, 270
The greatest common divisor of numbers 680, 144, 221, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 144, 221, 270 is 1.

1. What is the GCD of 680, 144, 221, 270?

GCD of given numbers 680, 144, 221, 270 is 1

2. How to calculate the greatest common divisor of 680, 144, 221, 270?

We can find the highest common divisor of 680, 144, 221, 270 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 680, 144, 221, 270 i.e 1.

3. How can I use the GCD of 680, 144, 221, 270Calculator?

Out the numbers 680, 144, 221, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.