GCD of 216, 676, 355, 257 Calculator

Given Input numbers are 216, 676, 355, 257

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 355 :

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

1, 5, 71, 355

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

GCD of numbers is the greatest common divisor

So, the GCD (216, 676, 355, 257) = 1.

Given numbers are 216, 676, 355, 257

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 355 are 5 x 71

Prime factors of 257 are 257

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

Given numbers are 216, 676, 355, 257

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

Apply this formula for all numbers.

Step1:

LCM(216, 676) = 36504

GCD(216, 676) = ( 216 x 676 ) / 36504

= 216 / 676

= 216

Step2:

LCM(4, 355) = 1420

GCD(4, 355) = ( 4 x 355 ) / 1420

= 4 / 355

= 4

Step3:

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

= 1 / 257

= 1

So, Greatest Common Divisor of 216, 676, 355, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 524, 355, 261
• GCD of 196, 509, 118, 211
• GCD of 743, 335, 842, 809
• GCD of 946, 769, 314, 847
• GCD of 706, 156, 414, 141

Given numbers are 216, 676, 355, 257
The greatest common divisor of numbers 216, 676, 355, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 676, 355, 257 is 1.

1. What is the GCD of 216, 676, 355, 257?

GCD of given numbers 216, 676, 355, 257 is 1

2. How to calculate the greatest common divisor of 216, 676, 355, 257?

We can find the highest common divisor of 216, 676, 355, 257 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 216, 676, 355, 257 i.e 1.

3. How can I use the GCD of 216, 676, 355, 257Calculator?

Out the numbers 216, 676, 355, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.