GCD of 518, 560, 876, 971 Calculator

Given Input numbers are 518, 560, 876, 971

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 (518, 560, 876, 971) = 1.

Given numbers are 518, 560, 876, 971

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

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

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 971 are 971

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

Given numbers are 518, 560, 876, 971

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

Apply this formula for all numbers.

Step1:

LCM(518, 560) = 20720

GCD(518, 560) = ( 518 x 560 ) / 20720

= 518 / 560

= 518

Step2:

LCM(14, 876) = 6132

GCD(14, 876) = ( 14 x 876 ) / 6132

= 14 / 876

= 14

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 518, 560, 876, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 152, 977, 550
• GCD of 581, 711, 178, 913
• GCD of 395, 160, 674, 938
• GCD of 181, 769, 302, 105
• GCD of 986, 899, 604, 340

Given numbers are 518, 560, 876, 971
The greatest common divisor of numbers 518, 560, 876, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 560, 876, 971 is 1.

1. What is the GCD of 518, 560, 876, 971?

GCD of given numbers 518, 560, 876, 971 is 1

2. How to calculate the greatest common divisor of 518, 560, 876, 971?

We can find the highest common divisor of 518, 560, 876, 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 518, 560, 876, 971 i.e 1.

3. How can I use the GCD of 518, 560, 876, 971Calculator?

Out the numbers 518, 560, 876, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.