GCD of 270, 814, 677, 990 Calculator

Given Input numbers are 270, 814, 677, 990

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (270, 814, 677, 990) = 1.

Given numbers are 270, 814, 677, 990

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 814 are 2 x 11 x 37

Prime factors of 677 are 677

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 270, 814, 677, 990

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

Apply this formula for all numbers.

Step1:

LCM(270, 814) = 109890

GCD(270, 814) = ( 270 x 814 ) / 109890

= 270 / 814

= 270

Step2:

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

= 2 / 677

= 2

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 270, 814, 677, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 522, 615, 825
• GCD of 303, 972, 153, 485
• GCD of 130, 500, 584, 744
• GCD of 982, 233, 449, 929
• GCD of 818, 288, 145, 307

Given numbers are 270, 814, 677, 990
The greatest common divisor of numbers 270, 814, 677, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 814, 677, 990 is 1.

1. What is the GCD of 270, 814, 677, 990?

GCD of given numbers 270, 814, 677, 990 is 1

2. How to calculate the greatest common divisor of 270, 814, 677, 990?

We can find the highest common divisor of 270, 814, 677, 990 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, 814, 677, 990 i.e 1.

3. How can I use the GCD of 270, 814, 677, 990Calculator?

Out the numbers 270, 814, 677, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.