GCD of 705, 216, 268, 355 Calculator

Given Input numbers are 705, 216, 268, 355

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

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 (705, 216, 268, 355) = 1.

Given numbers are 705, 216, 268, 355

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

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

Prime factors of 268 are 2 x 2 x 67

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 705, 216, 268, 355

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

Apply this formula for all numbers.

Step1:

LCM(705, 216) = 50760

GCD(705, 216) = ( 705 x 216 ) / 50760

= 705 / 216

= 705

Step2:

LCM(3, 268) = 804

GCD(3, 268) = ( 3 x 268 ) / 804

= 3 / 268

= 3

Step3:

LCM(1, 355) = 355

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

= 1 / 355

= 1

So, Greatest Common Divisor of 705, 216, 268, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 979, 802, 343
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• GCD of 919, 271, 634, 421

Given numbers are 705, 216, 268, 355
The greatest common divisor of numbers 705, 216, 268, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 216, 268, 355 is 1.

1. What is the GCD of 705, 216, 268, 355?

GCD of given numbers 705, 216, 268, 355 is 1

2. How to calculate the greatest common divisor of 705, 216, 268, 355?

We can find the highest common divisor of 705, 216, 268, 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 705, 216, 268, 355 i.e 1.

3. How can I use the GCD of 705, 216, 268, 355Calculator?

Out the numbers 705, 216, 268, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.