GCD of 270, 640, 655, 505 Calculator

Given Input numbers are 270, 640, 655, 505

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 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 505 :

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

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (270, 640, 655, 505) = 5.

Given numbers are 270, 640, 655, 505

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 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 655 are 5 x 131

Prime factors of 505 are 5 x 101

The highest common occurrence is 5¹

Therefore, GCD of 270, 640, 655, 505 is 5.

Given numbers are 270, 640, 655, 505

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

Apply this formula for all numbers.

Step1:

LCM(270, 640) = 17280

GCD(270, 640) = ( 270 x 640 ) / 17280

= 270 / 640

= 270

Step2:

LCM(10, 655) = 1310

GCD(10, 655) = ( 10 x 655 ) / 1310

= 10 / 655

= 10

Step3:

LCM(5, 505) = 505

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

= 5 / 505

= 5

So, Greatest Common Divisor of 270, 640, 655, 505 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 667, 272, 275
• GCD of 761, 720, 334, 984
• GCD of 478, 263, 370, 219
• GCD of 244, 280, 556, 709
• GCD of 514, 866, 450, 429

Given numbers are 270, 640, 655, 505
The greatest common divisor of numbers 270, 640, 655, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 640, 655, 505 is 5.

1. What is the GCD of 270, 640, 655, 505?

GCD of given numbers 270, 640, 655, 505 is 5

2. How to calculate the greatest common divisor of 270, 640, 655, 505?

We can find the highest common divisor of 270, 640, 655, 505 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, 640, 655, 505 i.e 5.

3. How can I use the GCD of 270, 640, 655, 505Calculator?

Out the numbers 270, 640, 655, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.