GCD of 270, 215, 505, 688 Calculator

Given Input numbers are 270, 215, 505, 688

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

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

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (270, 215, 505, 688) = 1.

Given numbers are 270, 215, 505, 688

The list of prime factors of all numbers are

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

Prime factors of 215 are 5 x 43

Prime factors of 505 are 5 x 101

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 270, 215, 505, 688

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

Apply this formula for all numbers.

Step1:

LCM(270, 215) = 11610

GCD(270, 215) = ( 270 x 215 ) / 11610

= 270 / 215

= 270

Step2:

LCM(5, 505) = 505

GCD(5, 505) = ( 5 x 505 ) / 505

= 5 / 505

= 5

Step3:

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

= 5 / 688

= 5

So, Greatest Common Divisor of 270, 215, 505, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 717, 446, 137
• GCD of 936, 299, 529, 251
• GCD of 495, 313, 439, 368
• GCD of 238, 172, 596, 858
• GCD of 548, 171, 561, 279

Given numbers are 270, 215, 505, 688
The greatest common divisor of numbers 270, 215, 505, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 215, 505, 688 is 1.

1. What is the GCD of 270, 215, 505, 688?

GCD of given numbers 270, 215, 505, 688 is 1

2. How to calculate the greatest common divisor of 270, 215, 505, 688?

We can find the highest common divisor of 270, 215, 505, 688 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 270, 215, 505, 688 i.e 1.

3. How can I use the GCD of 270, 215, 505, 688Calculator?

Out the numbers 270, 215, 505, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.