GCD of 270, 814, 969, 404 Calculator

Given Input numbers are 270, 814, 969, 404

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (270, 814, 969, 404) = 1.

Given numbers are 270, 814, 969, 404

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 969 are 3 x 17 x 19

Prime factors of 404 are 2 x 2 x 101

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

Given numbers are 270, 814, 969, 404

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, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

Step3:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1

So, Greatest Common Divisor of 270, 814, 969, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 299, 376, 875
• GCD of 553, 576, 314, 420
• GCD of 207, 127, 513, 879
• GCD of 596, 474, 167, 904
• GCD of 467, 953, 861, 690

Given numbers are 270, 814, 969, 404
The greatest common divisor of numbers 270, 814, 969, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 814, 969, 404 is 1.

1. What is the GCD of 270, 814, 969, 404?

GCD of given numbers 270, 814, 969, 404 is 1

2. How to calculate the greatest common divisor of 270, 814, 969, 404?

We can find the highest common divisor of 270, 814, 969, 404 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, 969, 404 i.e 1.

3. How can I use the GCD of 270, 814, 969, 404Calculator?

Out the numbers 270, 814, 969, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.