GCD of 560, 660, 809, 971 Calculator

Given Input numbers are 560, 660, 809, 971

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (560, 660, 809, 971) = 1.

Given numbers are 560, 660, 809, 971

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 809 are 809

Prime factors of 971 are 971

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

Given numbers are 560, 660, 809, 971

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

Apply this formula for all numbers.

Step1:

LCM(560, 660) = 18480

GCD(560, 660) = ( 560 x 660 ) / 18480

= 560 / 660

= 560

Step2:

LCM(20, 809) = 16180

GCD(20, 809) = ( 20 x 809 ) / 16180

= 20 / 809

= 20

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 560, 660, 809, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 264, 798, 890
• GCD of 213, 708, 920, 235
• GCD of 439, 755, 773, 452
• GCD of 132, 986, 618, 776
• GCD of 459, 582, 131, 425

Given numbers are 560, 660, 809, 971
The greatest common divisor of numbers 560, 660, 809, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 660, 809, 971 is 1.

1. What is the GCD of 560, 660, 809, 971?

GCD of given numbers 560, 660, 809, 971 is 1

2. How to calculate the greatest common divisor of 560, 660, 809, 971?

We can find the highest common divisor of 560, 660, 809, 971 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 560, 660, 809, 971 i.e 1.

3. How can I use the GCD of 560, 660, 809, 971Calculator?

Out the numbers 560, 660, 809, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.